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Kendriya Vidyalaya No.3, BathindaHoliday Home Work for Summer Vacation 2019-2020

Class 6 th A

Science

SCIENCE HOLIDAYS HOMEWORK

1. DO THE FOLLOWING ACTIVITIES

LESSON 1: ACTIVITY 6 AND 7

(NOTE: In activity seven paste the pictures of Herbivores, Carnivores and Omnivores)

LESSON 2: ACTIVITY 2

Make a table 2.2 (Nutrients present in some food items)

LESSON 3: ACTIVITY 5(Weaving with paper strips) LESSON 4: Make a table of objects floats on oil and water.(page no. 30) LESSON 5 : Visit a nearby dairy and report about the process used to separate cream from milk.

2. Make a chart of different sources of Vitamin , Proteins and fats(paste pictures)

3. Learn all the NCERT questions of chapter 1,2,3,4 and 5 and write in holidays homework notebook.

4. Draw the diagrams given on page No. 3 and fig 5.6

5. Prepare for monthly and periodic test held in june and july.

NOTE: SYLLABUS FOR MONTHLY TEST – LESSON 1,2,3,4

SYLLABUS FOR PERIODIC TEST – LESSON 1,2,3,4,5,6

Hindi


SANSKRIT

sub. English1.write all the question answers of completed lessons 3 times 2.write 20 forms of verbs3.write 20 idioms and use them in sentences.4. Write any 5 stories (with picture)5.Write 5 paragraphs onA. Value of treesB. Importance of games and sportsC. My aimD. My schoolE. Importance of discipline6.write 20 adjectives (degrees

PUNJABI


ਕਲਾਸ ਛਵੀ ਵਵਸਾ ਪਜਾਬੀਛ � ਟੀਆਦਾ ਕ ਮ1 ਤ3 ਤਕ ਪਾਠਾ ਦਪਰਸਨ ਉਤਰ ਯਾਦ ਕਰਨ।1 ਤ5 ਤਕ ਲਖ ਵਲਖਣਤਯਾਦ ਕਰਨ।1 ਤ5 ਤਕ ਅਰਜੀਆ ਵਲਖਣੀਆਤਯਾਦ ਕਰਨੀਆ।1 ਤ5 ਤਕ ਕਹਾਣੀਆ ਵਲਖਣੀਆਤਯਾਦ ਕਰਨੀਆ।ਹਰ ਰਜ ਇਕ ਪਜ ਸ ਦਰ ਵਲਖਾਈ ਦਾ ਵਲਖਣਾ।ਵਲ ਗ ਬਦਲ ਅਤ ਵਚਨ ਬਦਲ 1...20 ਤਕ ਵਲਖਣ ਤ ਯਾਦ ਕਰਨ।

EnglishClass 6 sub. English

1.write all the question answers of completed lessons 3 times

2.write 20 forms of verbs

3.write 20 idioms and use them in sentences.

4. Write any 5 stories (with picture)

5.Write 5 paragraphs on

A. Value of trees

B. Importance of games and sports

C. My aim

D. My school

E. Importance of discipline

6.write 20 adjectives (degrees)

MATHS


Class 6 th B

English

Class 6 sub. English




4. Write any 5 stories (with picture)


A. Value of trees

B. Importance of games and sports

C. My aim

D. My school


E. Importance of discipline

6.write 20 adjectives (degrees)

Hindi

SANSKRIT


PUNJABI

ਕਲਾਸ ਛਵੀ ਵਵਸਾ ਪਜਾਬੀ

ਛ � ਟੀਆਦਾ ਕ ਮ

1 ਤ3 ਤਕ ਪਾਠਾ ਦਪਰਸਨ ਉਤਰ ਯਾਦ ਕਰਨ।

1 ਤ5 ਤਕ ਲਖ ਵਲਖਣਤਯਾਦ ਕਰਨ।

1 ਤ5 ਤਕ ਅਰਜੀਆ ਵਲਖਣੀਆਤਯਾਦ ਕਰਨੀਆ।

1 ਤ5 ਤਕ ਕਹਾਣੀਆ ਵਲਖਣੀਆਤਯਾਦ ਕਰਨੀਆ।

ਹਰ ਰਜ ਇਕ ਪਜ ਸ ਦਰ ਵਲਖਾਈ ਦਾ ਵਲਖਣਾ।

ਵਲ ਗ ਬਦਲ ਅਤ ਵਚਨ ਬਦਲ 1...20 ਤਕ ਵਲਖਣ ਤ ਯਾਦ ਕਰਨ।

sub. English

1.write all the question answers of completed lessons 3 times 2.write 20 forms of verbs3.write 20 idioms and use them in sentences.4. Write any 5 stories (with picture)5.Write 5 paragraphs onA. Value of treesB. Importance of games and sportsC. My aimD. My schoolE. Importance of discipline6.write 20 adjectives (degrees


MATHS

Class 7 th A

English





4. Write 5 stories (with picture) the vain stag, the boy who cried wolf, the monkey and the crocodile,

The greedy dog, the honest wood cutter


A. Value of trees

B Importance of games and sports


C. My aim

D. My school

E Importance of discipline

6.write reported speech

SANSKRIT

HINDI


sub. English1.write all the question answers of completed lessons 3 times 2.write 50 forms of verbs3.write 30 idioms and use them in sentences.4. Write 5 stories (with picture) the vain stag, the boy who cried wolf, the monkey and the crocodile,The greedy dog, the honest wood cutter5.Write 5 paragraphs onA. Value of treesB Importance of games and sportsC. My aimD. My schoolE Importance of discipline6.write reported speech

Subject-SOCIAL SCIENCE

1. Prepare 05 descriptive and 05 objective question from the lesson no. 01 to 03 of the text Book ‘our past’ lesson no. 01 and 02 from the text book ‘our


Environment’ lesson no. 01 and 02 text book ‘ Social and Political life’ and write them in your note book .

2. Draw the diagram of components of environment and interior of the earth in your note book .

3. Above said lessons revised for the periodic test-1.4. Prepare 25 objective questions on the basis of the life and philosophy of

Mahatma Gandhi.5. Prepare charts on the basis of the food habit, folk dance and costumes of

Karnataka. 6. SUBJECT : MATHS7.8. CHAPTER 19. EX 1.1 Q8 (i) ,(iv) Q9 (a),( b)10. EX 1.2 Q211. EX 1.3 Q5(a,d ,g) ,Q7 (i)12. EX 1.4 Q1 ( b,e,g, ) , Q6(i)13.14. CHAPTER 215. EX 2.2 Q3( ii,iv,x)16. EX 2.3 Q3( i,iii) Q617. EX 2.4 Q1(ii,vi) Q4 ( iv,viii)18. EX 2.5 Q5 ,Q6(ii,v), Q819. EX 2.6 Q2, Q3( v,x,xii)20. EX 2.7 Q3(i,ii) Q4( i,ii) Q621.22. CHAPTER 323. EX 3.1 Q3,6,824. EX 3.2 Q2,425. EX 3.4 Q2

Class 7 th B

English






4. Write 5 stories (with picture) the vain stag, the boy who cried wolf, the monkey and the crocodile,

The greedy dog, the honest wood cutter


A. Value of trees

B Importance of games and sports

C. My aim

D. My school

E Importance of discipline

6.write reported speech

SANSKRIT


HINDI

sub. English1.write all the question answers of completed lessons 3 times 2.write 50 forms of verbs3.write 30 idioms and use them in sentences.4. Write 5 stories (with picture) the vain stag, the boy who cried wolf, the monkey and the crocodile,The greedy dog, the honest wood cutter5.Write 5 paragraphs onA. Value of treesB Importance of games and sportsC. My aimD. My schoolE Importance of discipline6.write reported speech

SUBJECT : MATHS


CHAPTER 1

EX 1.1 Q8 (i) ,(iv) Q9 (a),( b)

EX 1.2 Q2

EX 1.3 Q5(a,d ,g) ,Q7 (i)

EX 1.4 Q1 ( b,e,g, ) , Q6(i)

CHAPTER 2

EX 2.2 Q3( ii,iv,x)

EX 2.3 Q3( i,iii) Q6

EX 2.4 Q1(ii,vi) Q4 ( iv,viii)

EX 2.5 Q5 ,Q6(ii,v), Q8

EX 2.6 Q2, Q3( v,x,xii)

EX 2.7 Q3(i,ii) Q4( i,ii) Q6

CHAPTER 3

EX 3.1 Q3,6,8

EX 3.2 Q2,4

EX 3.4 Q2

Class 8 th A

Hindi


SCIENCE

ALL HOLIDAY HOMEWORK SHOULD BE DONE IN A SEPARATE COPY

Q1. Prepare 5 MCQs each from –(TOTAL 25 MCQs TO BE FORMED )

Chapter1- Crop production and management

Chapter-2- Microorganisms : friend and foe

Chapter-3-Synthetic fibres and plastics

Chapter4- Materials : metals and non metals

Chapter11- Force and pressure

Q2. Answer the following questions-

a) In the soil which nutrient is enriched by blue green algae?

b) Why should we avoid standing close to a TB patient while he or she is coughing?


c) Paheli watched her grandmother making mango pickle. After she bottled the pickle , her grand mother poured oil on the top of the pickle before closing the lid. Paheli wanted to know why oil was poured? Can you help her understand why?

d) Name 2 diseases caused by virus.

e) Why is it not advisable to burn plastic and synthetic fibres?

f) Rohit took with him some nylon ropes when he was going for rock climbing. Can you tell why he selected nylon ropes instead of ropes made of cotton or jute?

g) Despite being very useful it is advised to restrict the use of plastic. Why is it so? Can you suggest some methods to limit its consumption?

h) Why are bells made of metals?

i) Which liquid metal is used for making thermometers?

j) Which non metal is used to disinfect water?

k) Iron is more reactive than copper. Write an activity to show this.

l) While sieving grains , small pieces fall down. Which force pulls them down?

m) During dry weather , clothes made of synthetic fibres often stick to the skin. Which type of force is responsible for this phenomenon?

n) It is difficult to cut cloth using a pair of scissors with blunt blades. Explain.

o) Beera wants to practice crop rotation in his field. Suggest a rabi crop and a kharif crop which will replenish his field with nitrogen and why?

Q3. Learn and write answers of all the questions of chapters 1, 2,3,4 and 11 of NCERT text book .

SANSKRIT



1. Prepare 05 descriptive and 05 objective questions from the lesson no. 01 to 03 from the text – book ‘ Our Past -3rd ‘ part-1, lesson no. 01 and 02 from the text- book ‘ Resources and development’ lesson no.01 and 02 from the text-book ‘Social and Political Life -3rd and write them in your Note-Book.

2. Revise the above said lesson for the periodic test-1.3. Prepare 25 objective question based on the life and philosophy of Mahatma

Gandhi.4. Prepare the Chart of famous personalities of Karnataka

political map of Karnataka.Physical map of Karnataka.


(MATHS)

Note: Solve the following in a small notebook.

Ex 1.1- Ques 2,3,6,10,11 Ex 1.2- Ques 1,2 Ex 2.1- Ques 1,2,5,6,9 Ex 2.2 Ques 4,5,6,7 Ex 2.4 Ques 3,4 Ex 2.5 Ques 4,7,8 Ex 2.6 Ques 1,5 Ex 3.1 Ques 6 Ex 3.2 Ques 1,2 Ex 3.3 Ques 2,8

Do the following activities in a file:

1) Representation of numbers on number line (page 15,16 of textbook)

2) Equations explained in the class (page 21,22)

3) Quadrilaterals : a) Classification of polygons (page 38)

b) Properties of Quadrilaterals (page 56)

c) Verification of Angle-Sum property of a Quadrilateral.

Class 8 th B

Hindi


SCIENCE

ALL HOLIDAY HOMEWORK SHOULD BE DONE IN A SEPARATE COPY

Q1. Prepare 5 MCQs each from –(TOTAL 25 MCQs TO BE FORMED )

Chapter1- Crop production and management

Chapter-2- Microorganisms : friend and foe

Chapter-3-Synthetic fibres and plastics

Chapter4- Materials : metals and non metals

Chapter11- Force and pressure


a) In the soil which nutrient is enriched by blue green algae?

b) Why should we avoid standing close to a TB patient while he or she is coughing?


c) Paheli watched her grandmother making mango pickle. After she bottled the pickle , her grand mother poured oil on the top of the pickle before closing the lid. Paheli wanted to know why oil was poured? Can you help her understand why?

d) Name 2 diseases caused by virus.

e) Why is it not advisable to burn plastic and synthetic fibres?

f) Rohit took with him some nylon ropes when he was going for rock climbing. Can you tell why he selected nylon ropes instead of ropes made of cotton or jute?

g) Despite being very useful it is advised to restrict the use of plastic. Why is it so? Can you suggest some methods to limit its consumption?

h) Why are bells made of metals?

i) Which liquid metal is used for making thermometers?

j) Which non metal is used to disinfect water?

k) Iron is more reactive than copper. Write an activity to show this.

l) While sieving grains , small pieces fall down. Which force pulls them down?

m) During dry weather , clothes made of synthetic fibres often stick to the skin. Which type of force is responsible for this phenomenon?

n) It is difficult to cut cloth using a pair of scissors with blunt blades. Explain.

o) Beera wants to practice crop rotation in his field. Suggest a rabi crop and a kharif crop which will replenish his field with nitrogen and why?

Q3. Learn and write answers of all the questions of chapters 1, 2,3,4 and 11 of NCERT text book .

SANSKRIT



5. Prepare 05 descriptive and 05 objective questions from the lesson no. 01 to 03 from the text – book ‘ Our Past -3rd ‘ part-1, lesson no. 01 and 02 from the text- book ‘ Resources and development’ lesson no.01 and 02 from the text-book ‘Social and Political Life -3rd and write them in your Note-Book.

6. Revise the above said lesson for the periodic test-1.7. Prepare 25 objective question based on the life and philosophy of Mahatma

Gandhi.8. Prepare the Chart of famous personalities of Karnataka

Maths

SUMMER VACATION HOMEWORK (MATHS)


Class 8th

(2019-20)

Note: Solve the following in a small notebook.

Ex 1.1- Ques 2,3,6,10,11 Ex 1.2- Ques 1,2 Ex 2.1- Ques 1,2,5,6,9 Ex 2.2 Ques 4,5,6,7 Ex 2.4 Ques 3,4 Ex 2.5 Ques 4,7,8 Ex 2.6 Ques 1,5 Ex 3.1 Ques 6 Ex 3.2 Ques 1,2 Ex 3.3 Ques 2,8

Do the following activities in a file:

1) Representation of numbers on number line (page 15,16 of textbook)

2) Equations explained in the class (page 21,22)

3) Quadrilaterals : a) Classification of polygons (page 38)

b) Properties of Quadrilaterals (page 56)

c) Verification of Angle-Sum property of a Quadrilateral.

Class 9 th A

Hindi


ENGLISH

1. Solve the given worksheets on editing , omissions, sentence reordering and gap filling. . 2. Solve the given worksheet on unseen passages

3. Learn all the poems and lessons’ question answers done so far.

4. Read the lessons thoroughly to solve value based questions.

5. Write a letter to the editor showing your concern about global warming and suggest some solution also.

6. Write a story-- Raghav walked fast………. It was getting dark……….. He then realized that he had lost his way…………

GAP FILLING

1. The modern student____ (understandood, understands, understand) the importance_____( for, with, of from) physical exercise. He spends one to two hours in the open air___( which , where, why)he takes parts


in different sports. However care should______(be taken, took, takes, taking) not to overstrain ________( a,an ,the ,some) body.

2. There are four trees in the garden._________( every ,an, their, there) branches sway in the breeze. The children play_______( above, under,on) the trees. Some of the girls________( was, are, have, is)sleeping in the shade of the trees.

3. There is a general belief _______( in, among, between) students that_________( who, all, those, them) who write long sentences get________( many most, more) marks.

4. Kanishka, the ruler of the Kushans embraced Buddhism. He _______( is, was, had) invited to a Buddhist meeting ________(at,of, in, on) Kashmir during his reign. It was during his time that Buddhism__________( spreads, spread, spreading,is spread) to Sri lsnka and Myanmar.

5. He was ___________( surprised ,surprising, surprise) at the news__________( for, of, to)the success of a poor candidate________( which. Whose, who) got the ___________( high, higher, highest) number of votes in Bihar elections.

EDITING INCORRECT CORRECT

1. In the Himalayas, the deset is turning green.2. Climate change in a Indian region of3. Ladakh has strunk glaciers or has made rainfall4. and temperature unpredictable. Water has5. needed to irrigating the fields.6. Farmers may requiring aid from the govt.

1. Before perform an operation in hospital2. A doctor administer a drug or gas3. to making the patient unconscious4. to pain. This state of unconsciousness is 5. know as anaesthesia., from a Greek word6. who means loss of feeling. The substance 7. causing loss for feeling is called an anaesthetic.

1. The evil of begging is very common into our country.2. There can be no place which you won’t find a beggar.3. Some beggars are quite health. They are able- bodied 4. and are strong much to earn their living. But they are5. idlers and want to living without work. We


6. should not give them some alms.

1. The human body is much complicated than any2. machine. Yet it needs much little day to day care than all3. kinds of machines. No machine can’t do all the things that 4. the body can do. No machine will working for 70 years5. Or more, day and night , require only air, water ,food,6. and a few simply rules. No machine has made7. to adjust itself to so much different conditions as the

human body.

1. The year 2012 marks the 50th anniversary for2. the James Bond films. A first James Bond 3. movie titled ’Dr No’ was resealed in 1962.4. Numerous events was held for fans5. All on the world.

MAKE MEANINGFUL SENTENCES

1. The/there/numberless/ are/sky/stars/in2. The/ stars/ sky /twinkle/ the/ in/ at night3. Reveal/ universe /could /the size/ this/ of the

1. Person/ physically/ a/ was/ Kitty/ handicapped2. Sat up/ wheel chair /in a/ battery driven/ every evening/ she3. Drove/ an /she/ her/ wheelchair/ to apple orchard

1. In/ the cactus/ very hot, /grows/ dry places2. Do not/ leaves /have /they/ but s/piny /needles3. Flowers/ and/ bloom /some of them/ cacti/ at night /are big

1. Is/ soul of/ a /culture/ of the/ expression/ nation2. Nation/ is the /of any/ culture/ key element3. Nation /cultural/ every /has its own/ identity


OMMISSIONS

1. A few bottles of O+ blood required for the .......... ………. ……….2. Advertiser who undergoing a heart transplant .......... ………. ……….3. Operation next week. Donors be amply rewarded. .......... ………. ……….4. Those who feel they help in this regard are .......... ………. ……….5. Requested to contact number 7117875, Delhi. .......... ………. ……….

1 A donkey is a storng animal. It carry .......... ………. ……….2 Heavy loads long distances. It will .......... ………. ……….3 Eat almost anything. However, in spite its .......... ………. ……….4 Great usefulness its patient hard work, .......... ………. ……….5 A donkey is badly treated in most countries. .......... ………. ……….6 A stupid, foolish person sometimes called .......... ………. ……….7 A donkey it has as much sense as a .......... ………. ……….8 Horse or cow or a camel. .......... ………. ……….

1 A boy drowning in a river .......... ………. ……….2 And he shouted help. A .......... ………. ……….3 Man passing jumped into the .......... ………. ……….4 River and saved his life. As man .......... ………. ……….5 Was leaving, the boy him. .......... ………. ……….6 The man asked him reason. .......... ………. ……….7 The boy him for saving his life. .......... ………. ……….8 The man replied, “Make it sure thet you .......... ………. ……….9 Grow up, your was worth saving.” .......... ………. ……….

1 The small town was the .......... ………. ……….2 Foot of the mountains. Most the .......... ………. ……….3 People were farmers. There traders also .......... ………. ……….4 In the town. Though not rich, were .......... ………. ……….5 Happy contented. At one time, the peace broken by .......... ………. ……….6 Several robberies. The people frightened. .......... ………. ……….7 The Mayor the town called for .......... ………. ……….8 A meeting discuss the matter. .......... ………. ……….

1 A large part India’s population is .......... ………. ……….2 Illiterate. Illiteracy is biggest evil .......... ………. ……….3 Of the Indian society. Removal illiteracy .......... ………. ……….4 Is necessary all-round development .......... ………. ……….


5 Of country. .......... ………. ……….

PUNJABI

1 ਤ 6 ਤਕ ਪਾਠਾ ਦਪਰਸਨ ਉਤਰ ਯਾਦ ਕਰਨ ।

1 ਤ 5 ਤਕ ਲਖ ਵ ਲਖਣਤਯਾਦ ਕਰਨ ।

1 ਤ 3 ਤਕ ਅਰਜੀਆ ਅਤ 1 ਤ 3 ਤਕ ਪਤਰ ਵਲਖਣੀ ਤ ਯਾਦ ਕਰਨ ਅਗਤਰ ਤ ਵਪਛਤਰ ਸਬਦ ਯਾਦ ਕਰਨ ।

Maths

HOLIDAY HOMEWORK (MATHS)Class IX 2019-20

Solve in a small Notebook:

Ex 1.1 Q1,2,3, Exp 5,8

Ex 1.2 Q3, Exp 3,4

Ex 1.3 Q1,3 (a) (b), 8,9

Ex 1.4 Q1,5

Ex 1.6

Ex 2.1 Q 4,8

Ex 2.2 Q2 (i) (ii) Q4 (i) (ii) (iii)

Ex 2.3 Q1 (i),3

Ex 2.4 Q3 (i) (iv) Q4 all parts Q5 (i) (ii)


Ex 2.5 Q1 (i) (iii) Q2 (i) (iii) Q3 (iii) Q4 (i) (iv) Q5 (i), 6 (i) (ii) Q7 (i) (ii) Q8 (i) (ii)

Ex 4.2 Q4

Ex 4.3 Q1

Ex 4.4 Q1,2

ACTIVITIES: Do in Activity File:

Draw Square root spiral (Page 8) Represent √9.3 on the number line (Page 24) Write identities of chapter 2 (Page 44,46,47,48) Write about Euclid’s Axioms and its postulates (Page 88) Mathematicians Page 5,6,13 and Ramanujam & Euclid Plotting points in carterian plane (Q2 Page 65) on graph paper Graph of Linear Equations in two variables (Exp. 6 Page 72)


1. Prepare 05 descriptive and 0 objective question from the lesson “The French Revolution “ from the text-book” India and the contemporary -1 , from the lesson India Size and location and physical feature of India from the text book Contemporary India -1 from the lesson.what is democracy ? Why democracy? from the text-book “ Democratic Politics” and from the lesson” The story of village Palampur” from the text book “ Economics and write them in your note book.

2. Practice the maps mentioned on the page no.01,03,04 and 05 of the text book “ Contemporary India-1


3. Revise the above said lesson for the periodic test-14. Prepare 25 objective questions on the based on the life and philosophy of Mahatma

Gandhi and write them in your note-book.5. Prepare the projection following topic

1. Role of women in the social development of the paired state (karanatka)2. Religious places of importance in the paired state and country.(Karnataka and

Russia)3. Cultural diversity of the paired state and country (Karnataka and Russia)

Science

Subject-Science# Solve intext and exercise question-answers of chapters:- : Is matter around us pure & motion in fair notebook .

# Revise all chapters coming monthly and periodic test.

# Write these questions with answers in separate note book.

1.) Draw a well labelled diagram of plant cell and animal cell and write down difference between plant cell and animal cell.

2.) Draw a well labelled diagram of prokaryotic cell and eukarotic cell and also write the difference between them.

3.) Identify different processes involve in change of states of matter and define them.

4.) Define evaporation. Write down various factors effecting evaporation. Write down difference between evaporation and boiling.

5.)Define latent heat of fusion and latent heat of vapourisation.

6.)Describe meristematic and permanent tissue with their types.

7.) Describe endoplasmic reticulum with its types and labeled diagram.

Science


Subject-Science# Solve intext and exercise question-answers of chapters:- : Is matter around us pure & motion in fair notebook .










8.Derive three equations of motion with graphical method.

9). Solve all equation of motion given in ncert textbook.

1 10). Prepare a model on tissues or cell.

Class 9 th B

hindi


CLASS 9 ENGLISH HOLIDAYS HOMEWORK

1. Solve the given worksheets on editing , omissions, sentence reordering and gap filling. . 2. Solve the given worksheet on unseen passages



5. Write a letter to the editor showing your concern about global warming and suggest some solution also.

6. Write a story-- Raghav walked fast………. It was getting dark……….. He then realized that he had lost his way…………

GAP FILLING

6. The modern student____ (understandood, understands, understand) the importance_____( for, with, of from) physical exercise. He spends one to two hours in the open air___( which , where, why)he takes parts


in different sports. However care should______(be taken, took, takes, taking) not to overstrain ________( a,an ,the ,some) body.








7. The evil of begging is very common into our country.8. There can be no place which you won’t find a beggar.9. Some beggars are quite health. They are able- bodied 10. and are strong much to earn their living. But they are11. idlers and want to living without work. We


12. should not give them some alms.


human body.








OMMISSIONS





6 A large part India’s population is .......... ………. ……….7 Illiterate. Illiteracy is biggest evil .......... ………. ……….8 Of the Indian society. Removal illiteracy .......... ………. ……….9 Is necessary all-round development .......... ………. ……….


10 Of country. .......... ………. ……….

PUNJABI

1 ਤ 6 ਤਕ ਪਾਠਾ ਦਪਰਸਨ ਉਤਰ ਯਾਦ ਕਰਨ ।

1 ਤ 5 ਤਕ ਲਖ ਵ ਲਖਣਤਯਾਦ ਕਰਨ ।

1 ਤ 3 ਤਕ ਅਰਜੀਆ ਅਤ 1 ਤ 3 ਤਕ ਪਤਰ ਵਲਖਣੀ ਤ ਯਾਦ ਕਰਨ ਅਗਤਰ ਤ ਵਪਛਤਰ ਸਬਦ ਯਾਦ ਕਰਨ ।

ScienceSubject-Science

# Solve intext and exercise question-answers of chapters:- : Is matter around us pure & motion in fair notebook .











ScienceSubject-Science

# Solve intext and exercise question-answers of chapters:- : Is matter around us pure & motion in fair notebook .










8.Derive three equations of motion with graphical method.

9). Solve all equation of motion given in ncert textbook.

1 10). Prepare a model on tissues or cell.

Maths

HOLIDAY HOMEWORK (MATHS)Class IX 2019-20

Solve in a small Notebook:


Ex 1.1 Q1,2,3, Exp 5,8

Ex 1.2 Q3, Exp 3,4

Ex 1.3 Q1,3 (a) (b), 8,9

Ex 1.4 Q1,5

Ex 1.6

Ex 2.1 Q 4,8

Ex 2.2 Q2 (i) (ii) Q4 (i) (ii) (iii)

Ex 2.3 Q1 (i),3

Ex 2.4 Q3 (i) (iv) Q4 all parts Q5 (i) (ii)

Ex 2.5 Q1 (i) (iii) Q2 (i) (iii) Q3 (iii) Q4 (i) (iv) Q5 (i), 6 (i) (ii) Q7 (i) (ii) Q8 (i) (ii)

Ex 4.2 Q4

Ex 4.3 Q1

Ex 4.4 Q1,2

ACTIVITIES: Do in Activity File:

Draw Square root spiral (Page 8) Represent √9.3 on the number line (Page 24) Write identities of chapter 2 (Page 44,46,47,48)


Write about Euclid’s Axioms and its postulates (Page 88) Mathematicians Page 5,6,13 and Ramanujam & Euclid Plotting points in carterian plane (Q2 Page 65) on graph paper Graph of Linear Equations in two variables (Exp. 6 Page 72)

Class 10 th A

Science

Subject : science

Solve intext & exercise question answers of Chapters: 1. Human eye and the colourful

world

2. Light : reflection and refraction( in fair notebook)

Solve these questions in a separate notebook:

1) Calculate the distance at which an object should be placed in front of a thin convex

lens of focal length 10cm to obtain a virtual image of double its size.

2) Explain 2 situations under which no refraction would occur.

3) Which factors determine the focal length of a lens.

4) Explain: (a) Why stars seem higher than they actually are.

(b) Advance Sunrise and delayed Sunset


(c) Sun appears oval at sunrise and sunset.

5) Calculate maximum power of accommodation of a person having normal vision.

6) What are (i) Stomata (ii) Lenticles

7) Differentiate between excretion and osmoregulation. Which hormonal factor is

responsible for drinking of water in human beings?

8) What is the difference between displacement reactions and double displacement

reactions?

9) Explain the following term with one exampleof each:

i. Corrosion ii. Rancidity

10) Explain the role of HCL in digestion.

11) Draw well labeled diagram of human digestive system.

12) Describe Blood circulatory system in Human beings with well labelled diagram.

13) A tarnished copper vessel begins to shine again when rubbed with lemon . Why?

14) What happens when washing soda is kept in air?

15) What is baking powder? How does it make the cake soft and spongy?

Prepare a model on: i) Brain and its parts or

ii) Endocrine system


Revise all the chapters coming in monthly and periodic tests

SUBJECT ENGLISH



3. Solve the given worksheets on editing , omissions, sentence reordering and gap filling.

4.. Solve the 4given worksheet on unseen passages.

5. Write a letter to the editor on showing your concern about the problem of begging in our society and suggest some solution also.

6..Write a story on Before starting the journey, he made sure that he hadn’t forgotten anything………..He got into the train, settled himself in his seat and looked around ……………………

GAP FILLING

11. The modern student____ (understandood, understands, understand) the importance_____( for, with, of from) physical exercise. He spends one to two hours in the open air___( which , where, why)he takes parts in different sports. However care should______(be taken, took, takes, taking) not to overstrain ________( a,an ,the ,some) body.






13. In the Himalayas, the deset is turning green.


14. Climate change in a Indian region of15. Ladakh has strunk glaciers or has made rainfall16. and temperature unpredictable. Water has17. needed to irrigating the fields.18. Farmers may requiring aid from the govt.


13. The evil of begging is very common into our country.14. There can be no place which you won’t find a beggar.15. Some beggars are quite health. They are able- bodied 16. and are strong much to earn their living. But they are17. idlers and want to living without work. We18. should not give them some alms.


human body.








OMMISSIONS



19 A boy drowning in a river .......... ………. ……….20 And he shouted help. A .......... ………. ……….


21 Man passing jumped into the .......... ………. ……….22 River and saved his life. As man .......... ………. ……….23 Was leaving, the boy him. .......... ………. ……….24 The man asked him reason. .......... ………. ……….25 The boy him for saving his life. .......... ………. ……….26 The man replied, “Make it sure thet you .......... ………. ……….27 Grow up, your was worth saving.” .......... ………. ……….


11 A large part India’s population is .......... ………. ……….12 Illiterate. Illiteracy is biggest evil .......... ………. ……….13 Of the Indian society. Removal illiteracy .......... ………. ……….14 Is necessary all-round development .......... ………. ……….15 Of country. .......... ………. ……….


PUNJABI

ਕਲਾਸ ਦਸਵੀ ਵਵਸਾ ਪਜਾਬੀ ਛਟੀਆ ਦਾ ਕਮ

1 ਤ 5 ਤਕ ਪਾਠਾ ਦਪਰਸਨ ਉਤਰ ਯਾਦ ਕਰਨ । 1 ਤ 5 ਤਕ ਲਖ ਵ ਲਖਣਤਯਾਦ ਕਰਨ ।

1 ਤ 3 ਤਕ ਅਰਜੀਆ ਅਤ 1 ਤ 3 ਤਕ ਪਤਰ ਵਲਖ ਨ ਤ ਯਾਦ ਕਰਨ ਅਗਤਰ ਤ ਵਪਛਤਰ ਸਬਦ ਯਾਦ ਕਰਨ । ਓ ਤ ਹ ਤਕ ਮਹਾਵਰ ਯਾਦ ਕਰਨ ।

MathsB SUBJECT : MATHS

CHAPTER 1


EX 1.1 Q1(i) ,Q 4

EX 1.2 Q2(ii,iii), Q4

EX 1.4 Q1 ( ii, vii,)

EXAMPLE 8,9

CHAPTER 2

EX 2.2 Q1 (ii,iv,) Q2 (iii,v)

EX 2.3 Q3

EX 2.4 Q4

EXAMPLE:2,3,9

CHAPTER 3

EX 3.2 Q3( ii, iv),Q 7

EX 3.3 Q3(ii,v)

EX 3.5 Q3 ,Q4 (v)

EX 3.6 Q1 (iii,vi,,viii)

EXAMPLE: 13,15,16,19

CHAPTER 4

EX 4.2 Q3,5

EX 4.3 Q3,8,11

EX 4.4 Q1( iii) ,Q2( ii)

EXAMPLE 8,11,15

CHAPTER 5

EX 5.1 Q3( ii,iv),Q4( ii,vii,xii)


EX 5.2 Q4,9,11,13,17

EX 5.3 Q2( ii) Q4,10,11,13,15,17

Hindi कषि�ति�ज पस�क भाग 2

कावय खणड

सरदास क पद

– राम लकषमण परशराम सवाद �लसीदास

गदय खड स

न�ाजी का चशमा - सवय परकाश

बाल गोविवद भग� - रामव� बनीपरी

कति�का

मा�ा का अचल - शिशवपजन सहाय

इन पाठो स सबधि0� समस� परशनो को पढकर एव उनह शिलखकर और याद करक आना होगा ।

तिवजञापन 5 पथवी दिदवस पया=वरण सर�ा पस�क मला साइतिकल कलर आदिद स सबधि0� तिवजञापन �यार कर ।

तिनब0

मरा दश महान , मर जीवन का लकषय , वन रहग हम रहग , इटरनट की उपयोतिग�ा , परदषण समसया एव तिनवारण , जानलवा महगाई , तिवदयारथीE जीवन और अनशासन , परिरशरम का महतव , खल का महतव , और भागय और पपतर 10 पतर 10 औपचारिरक और 10

अनौपचारिरक

सरल या सा0ारण वाकय धिमशर या धिमकषिशर� वाकय और सयकत वाकय क 15 - 15 उदाहरण शिलखकर लाए ।


Class 10 th B

Science

Subject : science

Solve intext & exercise question answers of Chapters: 1. Human eye and the colourful

world

2. Light : reflection and refraction( in fair notebook)

Solve these questions in a separate notebook:

1) Calculate the distance at which an object should be placed in front of a thin convex

lens of focal length 10cm to obtain a virtual image of double its size.

2) Explain 2 situations under which no refraction would occur.

3) Which factors determine the focal length of a lens.

4) Explain: (a) Why stars seem higher than they actually are.

(b) Advance Sunrise and delayed Sunset

(c) Sun appears oval at sunrise and sunset.

5) Calculate maximum power of accommodation of a person having normal vision.

6) What are (i) Stomata (ii) Lenticles

7) Differentiate between excretion and osmoregulation. Which hormonal factor is

responsible for drinking of water in human beings?


8) What is the difference between displacement reactions and double displacement

reactions?

9) Explain the following term with one exampleof each:

i. Corrosion ii. Rancidity

10) Explain the role of HCL in digestion.

11) Draw well labeled diagram of human digestive system.

12) Describe Blood circulatory system in Human beings with well labelled diagram.

13) A tarnished copper vessel begins to shine again when rubbed with lemon . Why?

14) What happens when washing soda is kept in air?

15) What is baking powder? How does it make the cake soft and spongy?

Prepare a model on: i) Brain and its parts or

ii) Endocrine system

Revise all the chapters coming in monthly and periodic tests

SUBJECT ENGLISH



3. Solve the given worksheets on editing , omissions, sentence reordering and gap filling.

4.. Solve the 4given worksheet on unseen passages.


5. Write a letter to the editor on showing your concern about the problem of begging in our society and suggest some solution also.

6..Write a story on Before starting the journey, he made sure that he hadn’t forgotten anything………..He got into the train, settled himself in his seat and looked around ……………………

GAP FILLING

16. The modern student____ (understandood, understands, understand) the importance_____( for, with, of from) physical exercise. He spends one to two hours in the open air___( which , where, why)he takes parts in different sports. However care should______(be taken, took, takes, taking) not to overstrain ________( a,an ,the ,some) body.







22. Before perform an operation in hospital23. A doctor administer a drug or gas24. to making the patient unconscious


25. to pain. This state of unconsciousness is 26. know as anaesthesia., from a Greek word27. who means loss of feeling. The substance 28. causing loss for feeling is called an anaesthetic.

19. The evil of begging is very common into our country.20. There can be no place which you won’t find a beggar.21. Some beggars are quite health. They are able- bodied 22. and are strong much to earn their living. But they are23. idlers and want to living without work. We24. should not give them some alms.


human body.








OMMISSIONS




25 The small town was the .......... ………. ……….26 Foot of the mountains. Most the .......... ………. ……….


27 People were farmers. There traders also .......... ………. ……….28 In the town. Though not rich, were .......... ………. ……….29 Happy contented. At one time, the peace broken by .......... ………. ……….30 Several robberies. The people frightened. .......... ………. ……….31 The Mayor the town called for .......... ………. ……….32 A meeting discuss the matter. .......... ………. ……….

16 A large part India’s population is .......... ………. ……….17 Illiterate. Illiteracy is biggest evil .......... ………. ……….18 Of the Indian society. Removal illiteracy .......... ………. ……….19 Is necessary all-round development .......... ………. ……….20 Of country. .......... ………. ……….


PUNJABI

ਕਲਾਸ ਦਸਵੀ ਵਵਸਾ ਪਜਾਬੀ ਛਟੀਆ ਦਾ ਕਮ

1 ਤ 5 ਤਕ ਪਾਠਾ ਦਪਰਸਨ ਉਤਰ ਯਾਦ ਕਰਨ । 1 ਤ 5 ਤਕ ਲਖ ਵ ਲਖਣਤਯਾਦ ਕਰਨ ।

1 ਤ 3 ਤਕ ਅਰਜੀਆ ਅਤ 1 ਤ 3 ਤਕ ਪਤਰ ਵਲਖ ਨ ਤ ਯਾਦ ਕਰਨ ਅਗਤਰ ਤ ਵਪਛਤਰ ਸਬਦ ਯਾਦ ਕਰਨ । ਓ ਤ ਹ ਤਕ ਮਹਾਵਰ ਯਾਦ ਕਰਨ ।

Hindi

कषि�ति�ज पस�क भाग 2

कावय खणड


सरदास क पद

– राम लकषमण परशराम सवाद �लसीदास

गदय खड स

न�ाजी का चशमा - सवय परकाश

बाल गोविवद भग� - रामव� बनीपरी

कति�का

मा�ा का अचल - शिशवपजन सहाय

इन पाठो स सबधि0� समस� परशनो को पढकर एव उनह शिलखकर और याद करक आना होगा ।

तिवजञापन 5 पथवी दिदवस पया=वरण सर�ा पस�क मला साइतिकल कलर आदिद स सबधि0� तिवजञापन �यार कर ।

तिनब0

मरा दश महान , मर जीवन का लकषय , वन रहग हम रहग , इटरनट की उपयोतिग�ा , परदषण समसया एव तिनवारण , जानलवा महगाई , तिवदयारथीE जीवन और अनशासन , परिरशरम का महतव , खल का महतव , और भागय और पपतर 10 पतर 10 औपचारिरक और 10

अनौपचारिरक

सरल या सा0ारण वाकय धिमशर या धिमकषिशर� वाकय और सयकत वाकय क 15 - 15 उदाहरण शिलखकर लाए ।

SOCIAL SCIENCE

1. Prepare 05 descriptive and 10 objective questions from the lesson “The rise of nationalism in Europe” from the text-book “India and the contemporary world -11From the lesson Resources and development from the text-book” Contemporary India-2” from the lesson Development from the text –book Understanding Economic Development” from the lesson power sharing from the text book democratic Politics -2 and write them in your note book.

2. Practice the maps mentioned in the lesson no.01 of Contemporary India-23. Revise the above said lessons for the Periodic test-1.4. Prepare 25 objective question on the based of life and philosophy of Mahatma

Gandhi and write them in your note-book.5. Prepare the project on following topics.


1. Role of women in the social development of the paired state (karnataka)2. Religious places of importance in the paired state and country (Karnataka and

Russia)3. Cultural diversity of the paired state and country (Karnataka and Russia)

Maths

B SUBJECT : MATHS

CHAPTER 1

EX 1.1 Q1(i) ,Q 4

EX 1.2 Q2(ii,iii), Q4

EX 1.4 Q1 ( ii, vii,)

EXAMPLE 8,9

CHAPTER 2

EX 2.2 Q1 (ii,iv,) Q2 (iii,v)

EX 2.3 Q3

EX 2.4 Q4

EXAMPLE:2,3,9

CHAPTER 3

EX 3.2 Q3( ii, iv),Q 7

EX 3.3 Q3(ii,v)

EX 3.5 Q3 ,Q4 (v)

EX 3.6 Q1 (iii,vi,,viii)

EXAMPLE: 13,15,16,19

CHAPTER 4


EX 4.2 Q3,5

EX 4.3 Q3,8,11

EX 4.4 Q1( iii) ,Q2( ii)

EXAMPLE 8,11,15

CHAPTER 5

EX 5.1 Q3( ii,iv),Q4( ii,vii,xii)

EX 5.2 Q4,9,11,13,17

EX 5.3 Q2( ii) Q4,10,11,13,15,17

Class 12 th B

XII (ACCOUNTANCY)

1 Solve all numerical question of NCERT Book for Ch1 to Ch 4

2 Make a project on comprehensive problem for CBSE Final Project Work

3 Write objective type questions as per new pattern of CBSE for Ch 1 to Ch 4

4 Revision of Ch 1-4 for Monthly test & Periodic Test

XII (BUSINESS STUDIES)

1 Write all the question of NCERT Book for Ch 1 to Ch 4

2 Write objective type questions as per new pattern of CBSE for Ch 1 to Ch 4

3 Revision of CH 1-4 for Monthly Test & Periodic Test

Hindi


क�ा बारहवी

आरोह पस�क कावय आतम परिरचय। - हरिरवशराय बचचन

एक गी� - – दिदन जलदी जलदी ढल�ा ह हरिरवशराय बचचन प�ग - आलोक 0नवा

गदय भशिकतन - महादव वमा= बाजार दश=न - जननदर कमार

तिव�ान

शिसलवर वनडिUग मनोहर शयाम जोशी

इन समस� पाठो को पढ कर और उनक परशनो को भली- भाति� �यार करना । अकषिभवयशिकत और जनसचार माधयम स सबधि0� दिदए गए समस� परशनो क उततर याद करना ह ।

फीचर, आलख , पतर , तिनब0 और पस�क समी�ा 5-5 शिलखकर ल आना होगा ।

Class12th B Sub economics

Prepare a question bank from the lessons

1.Introductory macro economics

2.Basic concept of macro economics

3.National income and related aggregates

4.Calculating national income

5.money

6.Indian Economy on the eve of independence

7.Five years planning in INDIA

IP(Python)

***********PYTHON PROGRAMS FOR CLASS XII ********************


1.""" Program to Calculate Simple Interest """p = eval(input("Enter Principle? "))r = eval(input("Enter Rate? "))t = eval(input("Enter Time? "))si = p *r * t/100print("Simple interest = ", si)2.""" Program to Calculate Compound Interest """p = eval(input("Enter Principle? "))r = eval(input("Enter Rate? "))t = eval(input("Enter Time? "))A = p * (1 + r/100) ** tCI = A - pprint("compund interest = ", CI)3.""" Area of Triangle"""import matha = eval(input("Enter first side? "))b = eval(input("Enter second side? "))c = eval(input("Enter third side? "))s = (a + b + c) / 2area = math.sqrt(s *(s-a)*(s-b)*(s-c))print("Area = ", area)4."""To check number is even or odd"""num = eval(input("Enter any number ?"))if num % 2 == 0:print ("EVEN NUMBER...")else:print ("ODD NUMBER...")5."""Checking Divisibility """a = eval(input("Enter first number? "))b = eval(input("Enter second number? "))if a % b == 0:print (a, " is divisible by ", b)else:print (a, " is NOT divisible by ", b)6."""Roots of a Quadratic Equation"""import math as ma = eval(input("Enter value for a ?"))b = eval(input("Enter value for b ?"))c = eval(input("Enter value for c ?"))d = b ** 2 - 4 * a * cif d >=0:r1 = (-b + m.sqrt(d))/ (2 * a)r2 = (-b - m.sqrt(d))/ (2 * a)print("Root1 = ", r1, "\nRoot2 = ", r2)


else:print("Root are imaginary")7."""Calculating grades on total marks"""tot_marks = eval(input("enter total marks obtained by student ? "))percent = tot_marks / 5if percent >= 90:grade = "A"elif percent >= 75:grade = "B"elif percent >= 60:grade = "C"else:grade = "D"print ("your percentage is ", percent, "and grade is : ", grade)8."""Calculating income Tax"""gs = eval(input("Enter gross salary : ?"))if gs<=100000:it = 0elif gs <=500000:it = (gs - 100000) * 10/100elif gs <=1000000:it = 10000 + (gs - 500000) * 20/100else:it = 25000 + (gs - 1000000) * 30/100print("Income tax to be paid = ", it)9."""Maximum of 3 numbers"""a = eval(input("Enter value for a ?"))b = eval(input("Enter value for b ?"))c = eval(input("Enter value for c ?"))if a>b:if a>c:max = aelsemax = celse:if b>c:max = belse:max = cprint("Maximum = ", max)10."""Finding absolute value """num = eval(input("Enter any number :"))num1 = numif num < 0 :num1 = -1 * num # we can also write it as num1 = -numprint("Absolute value of ", num, "is = ", num1)


11."""Printing even numbers between 1 to N"""x = 2N = eval(input("Enter the limit N? "))while x <=N:print(x)x += 212."""Sum of Digits for a given number"""Sum = 0; Rem=0num = eval(input("Enter any number "))while num > 0:Rem = num % 10Sum = Sum + Remnum = num //10print("Sum of digits = ", Sum)13."""Reverse of a number"""rev = 0; Rem=0num = eval(input("Enter any number "))while num > 0:Rem = num % 10rev = (rev * 10) + Remnum = num //10print("Reverse of the given number = ", rev)14."""Factorial of a given number"""x = 1; fact = 1N = eval(input("Enter the number N? "))while x <=N:fact = fact * xx += 1print("Factorial of ", N, " = ", fact)15."""Print Fibonacci series upto N terms """a = 0; b=1; count = 2N = eval(input("Enter number of terms to be printed"))print ("Fibonacci series upto ", N, "terms are : ",a ,b, end = ' ')while count < N:c = a + b;print(c, end = ' ')a= b;b = ccount= count + 116."""Factorial of a given number"""N = eval(input("Enter any number :"))fact = 1for i in range(N, 1, -1):fact = fact * i


print("Factorial of ", N, " = ", fact)17."""To check the given number is prime or NOT? """flag = 1N = eval (input("Enter any number : "))for i in range(2, N):if ( N % i == 0):flag = 0if(flag == 0):print("Number", N, "is NOT Prime")else:print("Number", N, "is Prime")18.#Program to Sort 3 Numbers in ascending ordera = eval(input("Enter value for a ?"))b = eval(input("Enter value for b ?"))c = eval(input("Enter value for c ?"))if a<b :if a < c:if b<=c:print ("Numbers in ascending order are = ", a, b, c)else:print ("Numbers in ascending order are = ", a, c, b)else:print ("Numbers in ascending order are = ", c, a, b)else:if b < c:if a<=c:print ("Numbers in ascending order are = ", b, a, c)else:print ("Numbers in ascending order are = ", b, c, a)else:print ("Numbers in ascending order are = ", c, b, a)19."""To Sum first N terms of the series 2/5 + 4/10 + 6/15 + 8/20 +... + N terms"""N = eval(input("Input number of terms to be sum : "))num = 2den = 5sum = 0for i in range(1, N+1):sum = sum + num/dennum = num + 2den = den + 5print("sum of first ", N , "terms = ", sum)ORN = eval(input("Input number of terms to be sum : "))sum = 0for i in range(1, N+1):sum = sum + (2*i)/(5*i)print("sum of first ", N , "terms = ", sum)


20."""Calculating compound interest using loop"""P = eval(input("Enter value for Principle :"))R = eval(input("Enter value for rate :"))T = eval(input("Enter value for Time(in years) :"))si = 0; ci = 0; amt = 0amt = P;for t in range(1, T+1):si = amt * R * 1/100amt = amt + si;ci = amt - Pprint("Compound Interest = ", ci)21."""Multiplication table"""N = eval(input("Enter any number :"))fact = 1print("Multiplication table of ", N, "is : \n")for i in range(1, 11):print(N , " X", i, "= ", N*i)22."""Pattern112123123412345"""for i in range(1, 6):for j in range(1,i+1):print(j, end = ' ')print()23."""Pattern122333444455555"""for i in range(1, 6):for j in range(1,i+1):print(i, end = ' ')print()24."""Pattern***************"""for i in range(5, 0, -1):for j in range(i,0, -1):


print("*", end = ' ')print()25."""Pattern** ** * ** * * ** * * * *"""for i in range(1, 6):for k in range(10, i, -1):print(' ', end = '')for j in range(1,i+1):print("* ", end = '')print()

Class 12 th A

Hindi

क�ा बारहवी

आरोह पस�क

कावय

आतम परिरचय। - हरिरवशराय बचचन

एक गी� - – दिदन जलदी जलदी ढल�ा ह हरिरवशराय बचचन

प�ग - आलोक 0नवा

गदय

भशिकतन - महादव वमा=

बाजार दश=न - जननदर कमार

तिव�ान


शिसलवर वनडिUग मनोहर शयाम जोशी

इन समस� पाठो को पढ कर और उनक परशनो को भली- भाति� �यार करना ।

अकषिभवयशिकत और जनसचार माधयम स सबधि0� दिदए गए समस� परशनो क उततर याद करना ह ।

फीचर, आलख , पतर , तिनब0 और पस�क समी�ा 5-5 शिलखकर ल आना होगा ।

(BIOLOGY)

ALL HOLIDAY HOME WORK TO BE DONE IN A SEPARATE COPY.


CHAPTER-1

ONE MARK QUESTIONS

1.How does penicillium reproduce asexually?

2. Name a plant that flowers in twelve years.

3.The meiocyte of an onion plant contains 32 chromosomes.Work out the number of chromosomes found in its endosperm?

4.Cucurbits and papaya plants bear staminate and pistillate flowers. Mention the categories they are put under separately on the basis of type of flowers they bear.

5 . What is heterogamety?

TWO MARK QUESTIONS ;-

6. Differentate between a zoopore and zygote

7.What are vegetative propagules?

8.Distinguish between external and internal fertilizsation.

9.What is parthenogenesis? Give an example.

10.Why meiosis and gametogenesis are always interlinked?

THREE MARK QUESTIONS

11. Describe the process of binary fission in amoeba with diagrams.


12. Show by a series of diagrams the budding in yeast.

13. Define

1. juvenile phase

2. Reproductive phase

3. Senescent phase

14.Differentiate between gametogenesis from embryogenesis.

FIVE MARK QUESTION

15. Describe the post fertilization changes in a flower with proper diagrams.

CHAPTER 2--REPRODUCTION IN FLOWERING PLANTS

One mark

1. What is seed formation without fertilisation called as?

2. Name the substance by which the exine of pollen grain is made of.Give its significance.

3. A moss plant produces large number of antherozoids but relatively only a less egg cells.Why?

4. Differentiate between a zoospore and zygospore.

5. Mention any two devices developed by plants to discourage inbreeding depression.

Two mark

6. Differentiate between microsporogenesis and megasporogenesis.

7. The cells of tapetum in an anther are different from the the cells of other three wall layers How?Explain

8. Identify the type of carpel with the help of diagram.


9. Differentiate between parthenocarpy and parthenogenesis with examples.

10. Write the advantage of cross pollination.

11. Why is banana is called a true but parthenocarpic fruit?Give reasons.

THREE MARK

12. How is artificial hybridization done in plants?Write the different approaches we take in unisexual and bisexual plants for such experiments?

13. Geitinogamy is a functional cross poliination but genetically similar while autogamy is not.Explain the statement.

14. Why is fertilization in flowering plants are said to be double fertilization?

15. Write six adaptive chatracterstics of wind pollinated plants.

16 .Incompatibility is a natural barrier in the fusion of gametes.Justify the statement.

17 i) Represent schematically the development of the megaspore mother cell in to the 8 celled embryo sac.

ii) Why is this development called monosporic development?

CHAPTER 3

Human reproduction

1 MARK QUESTIONS

1 Name the source of gonadotropins in human females?

2 .Give a term for finger like projections on edges of infundibulum in the female reproductive system?

3. give any two components seminal plasma


4 Name the two parts of female reproductive system which forms birth canal?

5. which layer ofuterus undergo cyclical changes during menstrual cycle/

6. where do you find antrum in the female reproductive system?

7. which harmone is produced by the ovar in the later stages of pregnancy?

8. where do you find stem cells?

9. Define foetal ejection reflex?

10. Give the function of colostrum?

2 MARK QUESTIONS

1. Differentiate spermatogenesis from spermiogenesis

2. Give the functions of head and middle piece of human sperm?

3. Give any 4 differences between spermatogenesis and oogenesis?

4. When and where do you find carpusluteum?Give one significance of it?

5. Name the 3 layers of uterus ?Give the significance of inner layer?

6. Differentiate between semen and seminal plasma?

7. Where do you find inner cell mass? What is its significance?

8. Placenta acts as an endocrine gland .Justify

9. Fill in the blanks a,b,c,&d in the table related to human reproductive system

Hormone Events

a Ovulation

b Spermatogenesisc Spermiogenesisd Implantation

3MARKS QUESTIONS

1. Draw the following stages related to human reproduction and label them

a.blastocyst stage b.Ovum surrounded by few sperms2. name the parts of female reproductive systemof humanbeings by which the following takes place


a.collection of ovumafter ovulation b.Implantion of embryo c.fertilisation occurs3. Give the schematic representation of oogenesis

4. Describe the events of spermatogenesis with the help of diagrams

5. Rapid secretion of LH leading to its maximum level during the mid menstrual cycle induces rupturing of graafian follicles. Name two processes involved in the above statement . Name the structure produce d after the rupturing of graafian follicles by giving one function of it

6. Where do you find Zona pelucida? How it ensures that only one sperm can fertilise Ovum

7. What are chorionic villi? How it is related placenta? Give one function of placenta other than acting as a nutritive and respiratory tissue

8. Explain the changes that occur during parturition.

9. Describe the structure of sperm through a labelled diagram

10. Draw sectional view of seminiferous tubule , give the function of sertoli cells

5 MARKS QUESTIONS

1. Explain the process of oogenesis with the help of diagram.which event induces the completion of meiotic division of the secondary oocyte OR define the term cleavage

2. Define the term cleavage . Describe the process of embryonic development stating from zygote with the help of diagrams.

CHAPTER-4 REPRODUCTIVE HEALTH

1 MARKS QUESTIONS

Q.1. Expand the following:

A) ZIFT B) ICSI

Q.2. Why has Goverrnment put statutory ban on amniocentesis?

Q.3. What do you understand by Lactational Amenorrhea?

Q.4. What are called venereal diseaes?.Give an example.

Q. 5. Second trimester abortions are much more riskier. Mention any risk that may be fatal to the mother.

2MARK QUESTIONS

Q.6. Expand CDRI. What is its contribution to promote reproductive health?


Q.7. An ideal contraceptive should be effective and reversible. Justify the sense of effectiveness and reversibility?

Q.8. Mention any two measures taken by the government to tackle the problem of population explosion or birthcontrol.

Q.9. Mention any four reasons that cause infertility in couple.

Q.10. Timely detection of sexually transmitted diseases could avoid many complications. Mention any four such complications that affect reproductive health.

3MARK QUETIONS

Q.11. Mention the condition during which infertile couple adopt the following Assisted Reproductive Techniques. I) GIFT II) AI III) ZIFT

Q. 12. Mention some important steps to improve reproductive health standards in India.

Q.13. Give one example each of Non-medicated IUDs and Hormone- releasing IUDs. How .

do oral pills act in females and avoid conception. What is administered as emergency contraceptives and found to be very effective?

14. Expand MTP. Why is it also called induced abortion? Why is it carried out?

15. What is “reproductive health” according to the WHO. Mention any two major tasks under RCH programmes.

5MARK QUESTIONS

Q.16. Expand HIV. What are the various modes of transmission of HIV? . Mention any four ways of preventive measures of Sexually Transmitted Diseases.

Chapter 5: Principles of Inheritance and Variations.

1 Mark Questions (10)

1. How many contrasting characters are studied by Mendel in Pea plant?

2. Name the Mendel’s law which states that gene pairs assort randomly or independently of one another?

3. Give me one example for Incomplete Dominance?

4. What is Aneuploidy?

5. What is the cytological basis of Down’s syndrome?

6. Define test cross.

7. What is the phenotypic ration for Dihybrid cross?

8. A child is born with XXY chromosomal constitution, what will be the syndrome?

9. What is Gynaecomastia ?


10. How many autosomes are found in a single mature human sperm or ovum?

2 Marks Questions ( 10)

1. What is incomplete dominance, explain with pun net square? 2. What are the symptoms of Down’s syndrome?3. Why Drosophila was selected for genetic experiments by T.H. Morgan?4. What is point mutation? Give an example?5. Mention any four Mendelian disorders.6. Write two symptoms of Turners Syndrome?7. Write a brief note on Hemophilia?8. What is linkage?9. What are the main concepts of chromosomal theory of inheritance?10. What are the advantages of pedigree analysis?

3 Marks Questions ( 5)

1. What is female hetero gamety ?

2. What is frame shift mutation?

3. What is multiple allelism?

4. Define the terms genetics and inheritance.

5. What is emasculation?

6. What is true breeding line for a trait?

7. Distinguish between dominant gene and recessive gene.

8. Explain “Gene expression”

9. What is back cross?

10. What is crossing over?

5 Marks Questions ( 2)1. Mention whether the male individual of the following organisms are homozygous or heterozygous.

Human= XY-XX; Hen= ZW-ZZ; Drosophila= XY-XX; Grasshopper= XO-XX; Birds= ZZ-ZW2. Who determines the sex of an unborn child whether temperature has a role in sex determination.

CHAPTER-6

Section –A (ONE MARK)


1. Expand SNPs.

2. If the sequence of one strand of DNA is written as follows:

5'-ATGCATGCATGCATGCATGCATGCATGC-3'Write down the sequence of complementary strand in 5' to 3' direction.

3. Why DNA replication is said to be as semi conservative in nature?

4. How exons are different from introns?

5. Genetic code is degenerate. Explain.

Section –B (Two marks)6. Give one difference between –

a) Repetitive DNA and Satellite DNAb) Euchromatin and heterochromatin (1+1=2)

7. Draw a well labelled diagram of nucleosome.

8. What are the various criteria to be fulfilled by a molecule to act as a genetic material?

9. Give the functions of the following-

a) DNA polymeraseb) tRNA (1+1=2)

10. Observe the given Lac Operon and answer the following-

a) Name the enzymes or proteins coded by the structural genes z,y,a respectively.b) What is the role of a lactose molecule in the Lac Operon?

SECTION C

( Each question carries 3 marks)

1. Who gave double helical model of DNA? Give the salient features of helical structure Of DNA?


2. What is nucleosome? How is DNA molecule packaged to form the chromosome?

3. Explain Frederick Griffith’s experiment on Streptococcus pneumonia, to show a transforming principle is involved in conversion of one strain bacteria to another?

4. What is central dogma in molecular biology and who proposed it? In some viruses, the flow of information is in reverse direction. Identify the process and the enzyme involved?

5. List the three types of RNA? Why is DNA considered to be the stable compound than RNA?

6. Which type of mutation occurs in Sickle cell anaemia? How is it different from frame shift mutation? Explain the changes involved in polypeptide that lead to sickle cell anaemia formation?

7. Expand (a) EST (b) SNP (c) VNTP

8. Who gave Lac –operon model? How is lactose provided in the medium stimulate this operon?

9. Explain the principle that is the basis of DNA Fingerprinting? Give one application of DNA fingerprinting.

10. What are the components of transcription unit of DNA? What is their function?

SECTION D

(Each question carries 5 marks)

11. How does protein synthesis occur in prokaryotes? Explain.

12. Give the salient features of Genetic code?

CHAPTER-7 EVOLUTION

--------------------------------------------------------------------------------------------------------------------------1 mark questions

1. Classify the following as examples of homology and analogy(1)i. Hearts of fish and crocodile.ii. Thorns of bougainvillea and spines of Opuntia.

2. When and where did Neanderthal man live? What was his brain capacity? 3.Define Adaptive radiation?4.Name the theory of evolution proposed by Hu go Devris.5.Name the ancesters of conifers.

2 mark questions

6. Rearrange the following statements to explain the formation of atmosphere on earth (2)i) The lighter hydrogen gas escaped from the surface while oxygen combined withmethane , ammonia etc to form water and carbondioxide etc.ii) Earth cooled and water vapour fell as rain


iii) Water vapour, methane, ammonia and carbondioxide were released from moltenmass.iv) UV rays from the sun broke up water into hydrogen and oxygen.

7. Name the theory of origin based on the following statement; (2)i. The supernatural being created the earth, light, plants, animals.ii. Unit of life called spores transferred to different planets including earth.

8. Stanley Miller & Urey experimentally proved the chemical evolution of life by creatingcondition similar to the primitive atmosphere, in the laboratory. Name the gases filled bythem in the flask .In what form was the energy supplied for the chemical reaction to occur??(2)

9. Charles Darwin during a Sea voyage round the world in a sail ship (H.M.S Beagle),concluded that there has been gradual evolution of life forms .What is his theory practicallyknown as? Write the main points of his theory ?(2)

10. What is indicated by a cross section of earth’s crust? Name the evolutionary evidence inwhich different aged rock sediments containing fossil of life form are examined?(2)

3 mark question

11. Whales, bats, cheetah & humans shares similarities in the pattern of bones of forelimbswhat do we call these structures .How these structures are pointing towards divergentevolution? Give an example from plants which represent the same pattern? (3)

12. The structures which are not anatomatically similar but are performing similar function arecalled analogous structure. Give any two example of analogy.Why analogous structure are said to be a result of convergent evolution?(3)

13. Evolution is the stochastic process based on chance events in nature & chance mutation inthe organism. Explain it with the help of a suitable example (industrial melanism). Stateany other example from every day experience.(3)

14. Why small black birds later called Darwin Finches found in Galapagos Islands amazedDarwin.Which evolutionary phenomenon is represented by Darwin finches.Give any other example of this phenomenon. When is this phenomenon indicative ofconvergent evolution?(3)

15. Is evolution a process or the result of a process? Name the two key concepts of DarwinianTheory of evolution.(3)

5 mark question

16. “Allele frequencies in a population are stable and are constant from generation togenerations”. Who proposed this principle .State the factors that are known to affect it.What do you understand by founder effect. How these five factors mentioned can cause achange in a frequency of alleles of a population?(5)


Q2-Do the given previous year board examination questions from chapter 1 to 8 in copy.

Q3. Draw the diagrams of- a) TS of Ovary b) TS of testes c) Blastula d) Various stages of embryo till implantation in uterus e) TS of anther g) Mature embryo sac e) ovule g) nucleosome h) Pollen grain i) Male and female reproductive organs j) Life cycle of malarial parasite k) Replication of HIV in humans

maths

Relations and Functions

1 Mark questions

1. If f (x) = x 2 + 2 and g (x) =

xx+1 find g0f (3)

2. If f : R → R be defined as f (x) =

3x + 79 find f -1 (x)

3. Show that the binary operation a *b = 1 ∀ a , b ∈ N is both commutative and associative4. If a *b = a + 2 b , find (9*4)*25. State the reason for the relation R in the set { 1,2,3} given by R = { (1,2) , (2,1) } not to be transitive.6. Let A = {1,2,3}, B={4,5,6,7} A and let f = {(1,4) , ( 2,5) , (3,6)} be a function from A to B . State whether f is

one –one or not ?7. Let * be a binary operation on N given by a * b = LCM (a,b) for all a, b ∈N find 5 * 78. Let * be a binary operation on N given by a * b = HCF (a,b) for all a, b ∈N find 22 * 4

9. If f : R → R defined as f (x) =

2x−74 is an invertible function . Write f -1 (x)

10. If f (x) = x 3 be a function with domain {0,1,2,3 } . Then find domain of f -1

11. If f (x) = sin 2 x and composite function g (f(x)) = |sin x | then find g(x)

12. Is f : R → R defined by f (x) = 2 x + 2 IxI one one ?

13. Let a = { 1,2,3} then what is number of equivalence relations containing (1,2)

14. Let f : R → R be the function defined as f (x) =

12 − cos x then find the range of f.

15. The The binary operation * : R X R → R defined as a * b = 2a + b find (2 * 3 ) * 4


16. Let * be the binary operation defined by a * b = 3a + 4b – 2 find 2* 7

17. State the reason why the relation R = { (a, b) : a≤ b2 ¿¿on the set R is not reflexive ?

18. Find fog when f : R → R and g : R → R are defined by f (x) =

2x+13

and g ( x )= x2+ 1

19. Show that f : R → R defined as f (x) = sin x is neither one one nor onto.

20. Show that the function f : R → Rgiven by f (x)= e x is one one but not onto .

2 Marks Questions

Q.1 Let A= W X W and * be the binary operation on A defined by (a, b)*(c, d) = (a+ c, b+ d). Find the identity element for A. where W is whole number.

Q.2 Let A = {1,2,3,4,5 …… .9 } and R be the relation in A X A defined by (a, b) R (c, d) if a + d = b + c for a, b, c, d, ∈ A . Prove that R is a equivalence relation.

Q.3 Show that the relation R in the set R of real numbers, defined as R = {(a, b) : a≤b2} is neither

Reflexive nor symmetric nor transitive.Q.4 Find whether the function f : R → R given by f(x) = x2 + 1 is invertible or not.

Q.5If * is a binary operation on the set Q of rational numbers defined as a*b = a + a b, find 3*5.

Q.6 Let f: R→ R be defined as f(x) = 10x + 7.Find the function g : R→ R such that gof =fog=I R .

Q.7 Let L be the set of all lines in XY plane and R be the relation on L defined as

R = {( L1 , L2 ) : L1is∥¿ L2 } .Show that R is an equivalence relation

Q.8 If is defined by f(x) = 2x + 3, write the value of .Q.9 If A = Set of Boys of class XII in some school. Let aRb if and only if a and b use unfair means in the exam, a,b∈A. Is relation R a transitive Relation ?

Q.10 Let A = a set of People .Let aRb if and only if a and b are brothers . Is relation reflexive ?

Q.11. Show that the signum function f: RR given by: j¿

is not one-one.

Q.12 If f:R→R given by the function f(x) = x + 1x , show that f is invertible .

Q.13 If the function f:R→ Rbe given by f(x)= x2+2 and g:R→R be given by


g(x)=x

x−1, x≠ 1 find fog∧gof ∧hence find fog (2 )∧gof (−3)

Q.14 If f : R →R be defined by f ( x )=(3−x3 )1/3, then find fof(x).

Q.15 If ‘f’ is an invertible function, defined asf ( x )=3 x−4

5 write f –1 (x).

Q.16 If f : R →R and g : R →R are given by f(x) = sin x and g(x) = 5x2 , find g o f (x).

Q.17 If f(x) = 27x 3 and g(x) = x1/ 3 , find gof(x)

Q.18 Consider the binary operation* on the set {1, 2, 3, 4, 5} defined by a * b = min. {a, b}. Write the operation table of the operation *.

Q.19 If the binary operation * on set R of real numbers is defined as a* b= 3ab

7 ,write the identity element in R for *.

Q.20 Show that f : [–1, 1] →R, given by f (x) =x

x+2 is one-one.

4 mark questions 1. Let A= {1,2,3,…….,9} and R be the relation in A×A defined by (a,b) R(c,d) iffa+d=b+c for (a,b),(c,d)

∈ A×A . Prove that R is an equivalence relation and also find the equivalence class|(2,5 )|.CBSE-2010,2014

2. If R = {(x , y) : x + 2y = 8} is a relation on N, write the range of R CBSE-20143. Show that the relation R in the set A = {1, 2, 3, 4, 5} given by R = {(a, b) : |a – b| is divisible

by 2} is an equivalence relation. Write all the equivalence classes of R.CBSE-20154. Determine whether the relation R defined on the set of all real numbers as

R ={(a, b) : a, b ∈R and a – b + √3∈S, where S is the set of all irrational numbers}, is reflexive, symmetric and transitive. CBSE-20155. Show that the relation R on A ,A = { x| x j¿ Z , 0 ≤ x ≤ 12 } ,

R = {(a ,b): |a - b| is multiple of 3.} is an equivalence relation.6. Let N be the set of all natural numbers & R be the relation on N × N defined by

{ (a,b) R (c,d) iff a + d = b + c}. Show that R is an equivalence relation. 7. Show that the relation R in the set A of all polygons as:

R ={(P1,P2), P1& P2 have the same number of sides} is an equivalence relation. What is the set of all elements in A related to the right triangle T with sides 3,4 & 5 ?

8. Show that the relation R on A ,A = { x| x k¿ Z , 0 ≤ x ≤ 12 } ,R = {(a ,b): |a - b| is multiple of 3.} is an equivalence relation.

9. Show that the relation R defined in the set A of all triangles as R = {(T1, T2) : T1 is similar to T2}, is equivalence relation. Consider three right angle triangles T1 with sides 3, 4, 5, T2 with sides 5, 12, 13 and T3 with sides 6, 8, 10. Which triangles among T1, T2 and T3 are related?


10. Check whether the relation R in R defined by R = { (a,b) : a b3 } is an equivalence Relation.

11. Define a binary operation * on the set {0,1,2,3,4,5} as a * b = ¿

Show that zero in the identity for this operation & each element of the set is invertibleWith (6– a) being the inverse of a. [CBSE2011]

12. Let f : N →N defined as f(x)= 9 x2+6 x−5 show that f : N →S where S is the range of f is

Invertible .Find the inverse of f and hence find f−1 (43 )and f

−1 (163 ) CBSE-2016(DELHI)

13. If A = ¿ and ‘*’ be a binary operation defined by (a, b) * (c, d) = (ac, b + ad), for (a, b), (c, d)¿ .Then with respect to ‘*’ on A (i) Examine whether ‘*’ is commutative & associative(ii) Find the identity element in A,(iii) Find the invertible elements of A. [CBSE2015]

14. Given a non-empty set X, let *: P(X) x P(X) P(X) be defined as A * B = (A – B) ∪ (B – A), for all A, B ∈ P(X). Show that empty set ∅ is the identity element for the operation * and all the elements A of P(X) are invertible with A−1= A

15. Show that the function f: R {x∈R :-1 < x < 1} defined by f(x) = x

1+¿x∨¿¿ , x ∈R is one- one

And onto function.16. If the function f : R →R be given by f(x) = x2 + 2 and g : R →R be given by

g(x) =

xx−1

, x≠1, find fog and gof and hence find fog (2) and gof (– 3). [CBSE2014]

17. Consider the binary operations * : R × R →R and o : R × R →R defined as a * b =| a –b| And aob = a for all a, b ∈ R. Show that ‘*’ is commutative but not associative, ‘o’ is Associative but not commutative. CBSE-2012

18. Let f : W →W defined as f(x) = x – 1, if x is odd and f(x) = x + 1, if x is even. Show that f is invertible. Find the inverseof f, where W is the set of all whole numbers. CBSE-2014,2015

19. Consider a function f: R+[-5, ∞) defined f(x) = 9x2 +6x – 5. Show that f is invertible &

f -1(y) = k¿

, where R+ = (0,∞).20. Show that the relation R in the set A = {1, 2, 3, 4, 5} given by R = {(a, b): |a – b| is even}, is an

equivalence relation. Show that all the elements of {1, 3, 5} are related to each other and all the elements of {2, 4} are related to each other. But no element of {1, 3, 5} is related to any element of {2, 4}.

21. . Show that each of the relation R in the set A = {x ¿ Z : 0 ≤ x ≤ 12}, given byR = {(a, b) : |a – b| is a multiple of 4} is an equivalence relation. Find the set of all elements related to 1.


6 Marks Questions

1. A= {1, 2, 3,…….,9} and R be the relation in A×A defined by

(a,b) R (c,d) ⇒ a + d = b + c for (a, b), (c, d)∈ A× A . Prove that R is an equivalence relation and

also find the equivalence class|(2,5 )|2. Determine whether the relation R defined on the set of all real numbers as

R={(a, b): a, b∈R and a – b + √3∈S, where S is the set of all irrational numbers}, is reflexive, symmetric and transitive.

3. If R1 and R2 are Equivalence Relation in a set A, Show that R1 ∩ R2 is also an equivalence relation.

4. Let f : N →N defined as f(x)= 9 x2+6 x−5 show that f : N →S where S is the range of f is

Invertible. Find the inverse of f and hence find f−1 (43 )and f

−1 (163 )

5. Let f : W →W defined as f(x) = x – 1, if x is odd and f(x) = x + 1, if x is even. Show that f is invertible. Find f-1, where W is the set of all whole numbers.

6. Let A=R−{3} and B=R−{1}. Consider the function f:A →B defined by f(x) = x−2x−3

Show that f is one one onto and hence find f−1

7. Consider f : R+→[4 , ∞)given byf ( x )=x2+4 . Show that f is invertible with the inverse f– 1of fgiven

by f−1 ( y )=√ y−4 , where R+ is the set of all non-negative real numbers.

8. Let * be a binary operation, on the set of all non-zero real numbers, given by a * b = ab5 for all a, b ∈

R – {0}. Find the value of x, given that 2 *. (x * 5) = 10.9. Consider the binary operations * : R × R →R and o : R × R →R defined as

a * b =| a –b| and aob = a for all a, b ∈ R. Show that ‘*’ is commutative but not associative, ‘o’is associative but not commutative.

10. Define a binary operation * on the set {0,1,2,3,4,5} as a * b = ¿

Show that zero in the identity for this operation & each element of the set is invertiblewith 6 – a being the inverse of a.

11. If A = ¿ and ‘*’ be a binary operation defined by (a, b) * (c, d) = (ac, b + ad), for (a, b), (c, d)¿ .Then with respect to ‘*’ on A (i) examine whether ‘*’ is commutative & associative (ii) find the identity element in A,


(iii) find the invertible elements of A.

Inverse Trigonometric Functions

1 Mark Questions

Q.1 Find the value of tan−1 √3−sec−1(−2).

Q.2 Evaluate cos{π

3−cos−1(1

2 )}Q.3Using principal values write the value of

2cos-1 12 + 3sin-1 1

2

Q.4 If sin−1 : [−1 , 1]→ [ π2

, 3 π2 ] is a function, then what is the value of sin−1( 1

2 )Q.5Solve the equation tan-1 2x + tan-1 3x =

π4

Q.6 Write the principal value oftan−1( tan 5π

6).

Q.7 Find x if34

Q.8 Using principal value evaluate Sin-1(Sin3 π6 ).

Q.9 If Cos (tan-11/5 + cot-1 x ) = 0 , then find the value of x.

Q.10 If sin (sin-1 15 + cos-1x ) =1, then find the value of x .

Q.11 What is the range of Sin-1(x).

Q.12 What is the value of (sin-1x+ cos-1x )

Q.13 Solve cot (tan-1a + cot-1a )

Q.14 Write the principal value of the following :


37

Q.15 Write the following function in simplest form :tan−1¿), x≠ 0Q.16 Evaluate sin−1¿¿ ) Q.17 Using principal values , write the value of 2 cos-1(1/2) +3 sec-1(2) Q.18 Solve sin−1¿).

Q.19Solve

14

Q.20 Solve

13

2 Marks Questions:-

1. Evaluate 23

2. Solve the following equation: cos ( tan−1 x )=sin (cot−1 34 )

3. Solve, tan−12 x + tan−13 x = π4 ; where ,

−1√2

≤ x ≤1

4. Write the principal value oftan−1 (√3 )−cot−1 (−√3 ) .

5. Write the value of tan−1[2 sin(2 cos−1 √3

2 )]6. . Evaluate:

tan{2 tan−1 ( 15 )}

7. Find x, if sec−1 ( √2 )+cosec−1 x= π2

8. Show that:tan−1( 12

sin−1 34

)=4−√73

9. Find the principal value of:- tan−1¿

10. Write in simplify form of cos−1( x−√1−x2

√2).

11 Prove that tan−1( 1

1−x+x2) = tan−1 x+ tan−1 (1−x )

12 Iftan−1 x+ tan−1 y+ tan−1 z= π

2 , then prove that xy +yz +zx = 1


13 Solvesin−1 [ 3

5sin x+ 4

5cos x ] .

14 Solve tan−1 [ 5 x

1−6 x2 ]15 Solve for x :4 cos−1 x+sin−1 x=π

4 Marks Questions

1 Prove that: sin−1 ( 8

17 )+sin−1( 35 )=cos−1 (36

85 )2 Prove that : 2sin−1 3

5 - tan−1 1731

=¿ π4

¿

3 Prove that :tan−1 15 +tan−1 1

7+tan−1 1

3+ tan−1 1

8= π

4

4 Prove that :cot−17+cot−1 8+cot−1 18=cot−13 .

5 Show that: tan( 1

2sin−1 3

4 )= 4−√73 .

6 Prove that : cos[tan−1(sin (cot−1 x))] =√ x2+12+x2

.

7 Prove that : cot−1( √1+sinx+√1−sin x√1+sin x−√1−sin x

) =x2 , x ∈(0,

π4 )

8 If cos−1 x+¿cos−1 y+¿ cos−1 z=π , prove that x2+ y2+z2+2 xyz=1 ¿¿

9 Iftan−1 x+ tan−1 y+ tan−1 z=π

2 Prove that xy + yz + zx = 1

,

10 Solve for x: cos−1( x2−1x2+1 )+tan−1( 2 x

x2−1 )=2 π3

11 Simplify: sin−1 {x√1−x−√x √1− x2 } ;|x|<1

12 Solve the equation :tan−1( x−1x−2

)+tan−1( x+1x+2

)=π4 .

13 Solve the equation :tan−12 x+tan−13 x=π4 .

14 Solve for x : tan−1( 2 x1−x2 )+cot−1( 1−x2

2 x)=2π

3 ,x >0

15 Solve the equation : tan−1( 1−x1+x ) =1

2tan−1 x ,x>0


16 Solve for x:2 tan−1 (cos x )= tan−1 (2 cosec x )

16 Solve for x: sin−1 (1− x )−2 sin−1 x= π

2

CHAPTER : MATRICES & DETERMINANTS

(1,Mark)

Q.1 If A is a matrix of order 3x4 and B is a matrix of order 4x3 ,write the order of the matrix (AB).

Q. 2 If [2357 ][1−3

−24 ] =[−4 6−9 x ] write the value of x

Q.3 If matrix A= [3−3−3 3] and A2¿∝ A then write the value of ∝ .

Q. 4 A matrix A of order 3x3 has determinant 5 what is the value of l3Al ?

Q.5 If A is a square matrix of order 3 such that ladjAl=64 ,find lAl.

Q. 6 If a matrix has 5 elements, write all possible orders it can have.

Q. 7 Write the element a23 of a 3x3 matrix A=(aij ) whose elements aij are given by aij =l i-j l/2.

Q.8 If ⟦a+b 25 b ⟧ =[65

22] find a

Q. 9 If |x+23x+54| =3 find the value of x.

Q.10 For what value of x , the given matrix A =[3−2 x x+12 4 ] is a singular matrix ?


Q .1 1 Construct a 2x3 matrix whose elements are given by a ij=i+3 j2

.

Q .12 Construct a 2×2 matrix whose elements are given by a ij={i− j if i≥ ji+ j if i < j

.

Q .13 Find the product of matrix AB if A =[ -1 2 -5 ] and B=[ 2−17 ]

Q .14 If A=|5 6 −3

−4 3 2−4 −7 3

| ,then write the cofactor C21 of a21 also find a21 C21 .

Q . 15 If x∈ Z and |2 x 3−1 x

|=|3 1x 2

|, x=?

Q . 16 If A is a square matrix of order 2 and |A|=−5 evaluate |3A|.

Q . 17 Evaluate |x+ y y+z z+ x

z x y−3 −3 −3

|.

One mark questionsQ.18 Find the value of x, y, and z from the following equation:

Q.19 If a matrix has 24 elements, what are the possible order it can have? What, if it has 13 elements?Q.20

Construct a matrix whose elements are given by .Q.21

Find the value of x if

[ 3 x+ y − y2 y−x 3 ]=[ 1 2

−5 3 ]Q.22 If matrix A = (1 2 3), write AA’.

(2 Marks)


Q.1 If A = [ 123−1] and B =[ 13

−11], Write the value of |AB|.

Q. 2. Examine the consistency of the following system of equations :

x+2y = 2,2x+3y =3

Q.3. Show that the matrix A =[1−1 5−12 15 1 3 ] is a symmetric matrix.

Q.4. Find x , if [ x−5−1 ] [1 0 20 2 12 0 3][ x

41] =O

Q.5 Write the value 0f the determinant | 2 3 45 6 8

6 x 9 x12 x|

Q.6 Simplify , Cosθ [ Cosθ Sinθ−SinθCosθ] + Sinθ [Sinθ−Cosθ

Cosθ Sinθ ].

Q.7 If matrix [ 0 a32b−1c1 0 ] is skew symmetric matrix find the value of a,b,c.

Q.8 find a matrix such that 2A+B+X=0

Where A = [−1234 ] and B = [3−2

15 ]

Q.9 Without expanding prove that |a−b b−c c−ab−c c−a a−bc−a a−b b−c| = 0

Q.10 Without expanding prove that |2 7653 8755 986| = 0

Q . 11 If A=[2 34 −1 ] and B= [ 1 −2

−3 1 ] find adj (AB ) .


Q .12 Evaluate :

|2 3 713 17 515 20 12

|

2

Q . 13 Without computing adj A, find |adj A| if A=[ 1 3−1 4 ]

Q .14 If matrix [cosx 13 4cosx ] is singular ,find the value of x .

Q .15 For what value ofk ,the systemof linear equations x+ y+z=2,2 x+ y−z=3,3 x+2 y+kz=4has aunique solution?

Q.16.Find the values of x for which|3 xx 1

|=|3 24 1

|. Ans. x=±2√2.

Q.17.If A=

|1 0 10 1 20 0 4

|, find|3 A|.

Q.18.Let A be a square matrix of order 3¿3 the find the value of |kA|.

Q.19.Write the minors and cofactors of elements of |2 −40 3

|.

(4-Marks)

Q.1 Matrix A =[0 2b−231 3

3 a 3−1] is given to be symmetric ,find values of a and b.

Q. 2 Find 12 (A + A`) and

12 (A-A`) when A =[ 0 a b

−a 0 c−b−c0 ]

Q.3. Find the matrix X so that X[12 345 6 ] = [−7−8−9

2 4 6 ]


Q 4. Solve the equation

|x+a x xx x+axx x x+a| =0, a≠ 0

Q .5 . Prove that |a 2 bcac+c2a2+abb 2 acabb 2+bcc 2| =4a2 b2 c2

Q.6. Show that |a2+1ab ac

abb2+1 bcca cbc2+1| = 1+ a2 + b2+ c2

Q 7. If A-1 =[ 3−11−15 6−5

5−22 ] and B = [1 2−2−13 00−21 ] find (AB)-1

Q . 8 Using properties of Det. , prove that |x x21+ px3y y21+ py 3z z2 1+ pz 3 |=(1+pxyz) (x-y)(y-z)(z-x).where is any

scalar

Q.9 compute the ad joint of the matrix A=[ 123−5] and verify that A.(adjA)=lAl I

Q. 10 If A=[2 31 2 ] ,find a , b so that A2=aA−bI2 .

Q. 11 Find matrix X if X (1 24 5

36 ) = (−7 −8

2 4−9

6 ) .


Q . 12 A trust caring for hadicapped children gets Rs 30000 every month from its donors . The trust spends half of the funds received for medical and educational care of the children and for that it charges 2% of the spent amount from them,and deposited the balance amount in a private bank to get the money multiplied so that in furure the trust goes on fucntioning regularly . What % of interest should the trust get from the bank so to get a toatal of Rs1800 every month . Use matrix multiplication to find the rate of interest . Do you think people should donate to such trusts ?(201 5 )

Q.13 If A =[ 3 1-1 2 ] , show that A2−5 A+7 I=Ο . Use this result to find A−1 .

Q .14 Prove that |x x2 1+px3

y y2 1+py3

z z2 1+pz3|=(1+pxyz )( x− y )( y−z )( z−x ) (2010)

Q .15 Find a matrix satisfying the equation [1 22 3 ] A [4 7

3 5 ] =[1 00 1 ]

Q.16

ILet , show that , where I is the identity matrix of order 2 and n∈N

Q.17Find A2 – 5A + 6I, if A = [2 0 1

2 1 31 −1 0].

Q.18If A = [3 −2

4 −2] and I is an identity matrix of order 2, find k so that A2 = kA -2I.

Q.19If A = [3 −4

7 8 ] then write A in the form of a symmetric and skew symmetric matrix.

Q.20Write the inverse of matrix A = [0 1 2

1 2 33 1 1], by using elementary operations .

Q.21.If x,y,z are different and

Δ=|x x2 1+x3

y y2 1+ y3

z z2 1+z3|

=0,then show that 1+xyz=0.

Q.22.Show that

|1+a 1 1

1 1+b 11 1 1+c

|=abc(1+ 1a

+ 1b+ 1

c).


Q.

23.For any scalar p, prove that ,

|x x2 1+ px 3

y y2 1+ py 3

z z2 1+ pz3|=(1+ pxyz )( x− y )( y−z )( z−x ) .

Q.24.Show that the matrix A=[2 31 2 ]

satisfies the equation, A2−4 A+ I=0 .Hence findA−1

.

(6-Marks)

Q.1 Using properties of determinant prove that

|x x2 1+ px3y y 21+ py 3z z 21+ pz 3| = (1+pxyz)(x-y)(y-z)(z-X)

Q. 2 Show that,

|x+ y+2 z x yz y+z+2 x yz x z+x 2 y |=2(x+y+z)3

Q. 3. For the matrix A=[ 11 112−32−1 3] show that A3 -6A2+5A+11I=O. Hence find A-1.

Q.4 Solve the system of equations Using matrix method

x-y+z =4,2x+y-3z =0 ,and x+y +z =2

Q.5 Show that |a2+1ab ac

abb2+1 bcca cbc2+1| = 1+ a2 + b2+ c2


Q.6 Using Elementary transformation ,find the Inverse of the matrix A=[84 321 112 2 ]

Q.7 Solve the following system of linear equation,

8x + 4y+ 3z = 19, 2x + y+ z =5 ,x+2y +2z = 7

Q.8 If A = [2−353 2−41 1−2 ] , find A-1 Using A-1 Solve the system of eq.s

2x – 3y +5z =11 , 3x+2y -4z=-5 ,x+y-2z =-3 .

Q .9 Given that A =[1−102 3 401 2 ] and B = [ 22−4

−42−42−1 5 ] find AB .

Hence use this to solve the following system of equations,

x− y=3 ,2x+3y+4z =17 , y+2z =7

Q. 10 A school wants to award its students for the values of honesty ,Regularity ,and Hard Work with a total cash award of Rs.6000,three times the award money for Hard work added to that given for honesty amounts to Rs. 11000 . The award money given for honesty and Hard work together is double the one given for regularity . Represent the above situation algebraically and find the award money for each value ,Using matrix method . apart from these values ,namely, Honesty ,Regularity and Hard Work, Suggest one more value which school must include for award.

Q . 11 Two crickets teams honoured their players for three values,excellent batting,to the q point bowling and unparalled fielding by giving Rs x,Rs y and Rs z per player respectively . The first team paid respectively 2,2 and 1 players for the above values with a total prize money of Rs 11 lakh,while the second team paid respectively 1.2,2 players for these values with the a total prize money of Rs 9 lakhs .If the total award money for one person each for these values amounts to Rs 6 lakhs,then express the above situation as a matrix equation and find the award money per person for each value. For which of the above mentioned values ,would you like to pay more ? CBSE 2013


Q.12 Find the inverse of A by using elementary row transformations : [ 1 3 -2-3 0 -52 5 0 ]

Q. 13 Find the equation of the line joining A (1,3 ) and ( 0,0) using determinants and find the k if D(k,0 ) is the a point such that the area of ΔABD is 3 sq units .

Q .14 |(b+c )2 a2 a2

b2 (c+a )2 b2

c2 c2 (a+b )2|=2abc (a+b+c )3 .

Q. 15 Using product [1 −1 20 2 −33 −2 4 ][−2 0 1

9 2 −36 1 −2 ] to solve the system of equations:

x− y+2 z=1,2 y−3 z=1,3 x−2 y+4 z=2.Q.16 Write the inverse of matrix A = [0 1 2

1 2 33 1 1], by using elementary operations .

Continuity and Differentiability

One Mark Questions

1.Examine the continuity of the function f(x) = x2 +5 at x= -1.

2.Give an example of a function which is continuous at x= 1 but not differentiable

at x= 1.

3.Differentiate , sin(logx) ,w.r.t.x.

4. Differentiate ,esin−1 x ,w . r . t . x .

5. Differentiate, log(logx).

6.Differentiate cos√ x√ x

with respect to x.

7. Differentiate with respect to x if y=3x.

8. If y = xx , find dy/dx.

9. Show that f ( x )=¿x−1∨¿ is not differentiable at x=1.


10. Differentiate x+√x2+a2w .r . t . x

11. Is sin x continuous at x = π/2 or not?

12. Differentiate y = sin (x2 + 5) w. r. t. x.

13. Differentiate sin (tan-1ex ) w. r. t. x.

14. Differentiate elogx w. r. t. x.

15.If f(1) =4 and f ¿ (1 ) =2 ,find the value of the derivative of log(f(ex)) at x=0

16. Find the derivative of sin−1 x w.r.t cos−1 x

. 17. Is the given functionf( x) = x2 – 2x + 1 continuous in the interval [-1,2] .

18. If y = Sin ( tan-1ex) , find dy/dx.

19.If y = at2 , x= 2at , fin dy/dx.

20. Give an example of a function which is continuous everywhere.

Two Marks Questions

21.Find the unknown constant if the function is continuous

2

2. Find the unknown constant if the function is continuousf ( x )={k ( x2+2 ) , if x≤0

3x+1 , if x>0¿¿

2

3. Find the unknown constant if the function is continuousf ( x )={λ( x2−2x ), if x≤0

4 x+1 , if x>0¿¿

2

4.y= tan−1[ 1−cosx

sinx ]finddydx

.

2

5.y= tan−1[ 1+x

1−x ]find dydx

.


26. Verify the Rolle’s theorem for the function f( x) = x2 – 2x + 1 in the interval [-1,2]

27. If xx= y y then dydx

28. Find the derivative of xsinx+ cosx

29. What is the interval over which f ( x )=sin (logx)is continous?30. Show that the function f ( x )=|x+2|iscontinous at every real number.

31. If x=sin−1 (3 t−4 t 3)∧ y=cos−1 √(1−t 2)then find dydx .

32. Find k for which the function f(x) = {sin 5x

3 x

k

x≠0

x=0 is continuous at x = 0

33. Find the value of k if given function is continuous 34. If y =3e2 x+2 e3 x,then show that y// - 5 y/

+ 6y = 0.

35. If y = Sec-1(

12 x2−1 ) , find dy/dx.

36. For what value of k the function f(x) = 1 - {1−cos4 x

8 x2, x≠0

k , x=0 is continuous at x =0.37. Prove that y’’ + y = 0 , if y = 5 cos x – 3 Sinx .38. Prove that the greatest integer function defined by f(x) = [ x ] is not differential at x = 1.

39. Find dy/dx , if x = a ( 1 + Cos θ ) and y = a (θ - Sin θ ).

40. If y = tan−1 2 x

1−x2 , find its derivative with respect to x.

Four Marks Questions

41. Find the unknown constant if the function is continuous 42 .Find the unknown constant if the function is continuous


43. Find the unknown constant if the function is continuous

44.If find y = a( Sinθ - θ Cosθ ) and x= a ( Cosθ + θ Sinθ )find d2 ydx2

45. If , find

46.Ifsin−1 x= y , show that (1−x2 ) y ''−xy '=0

47. y = xcosx + (cosx)x find

48. Differentiate tan-1[ √1+x2+√1−x2

√1+x2−√1−x2 ]with respect to x.

49. If siny = x sin(a+y) ,prove that dydx

=sin2(a+ y )

sina50.Show that function f(x) defined by

f ( x )={sinx

x+cosx , x>0

2, x=04 (1−√1−x )

x, x<0

, is continuous at x=0

51. If √1−x2+√1− y2

= a ( x – y ) , prove that

dydx =√ 1− y2

1−x2.

52.Find when

53. Find dy/dx , if x = a { Cos t + log (tant/2)} , y = a { Sin t}.

54. If y= Cos(x3).Sin2(x5) , then find dy/dx.

55. Verify Rolle’s theorem for the function f(x) = Sin x in [ 0,π]

6 Marks questions

56. Find dydx , if y x+x y+xx=ab .


57. . If y = then show that

Application of Derivatives

1 Marks Questions

1) Find the rate of change of volume with respect to radius of a sphere when radius is 2 cm.2) The side of an equilateral triangle is changing at the rate of 2cm/sec. Find the rate of change of area if

side is 2 cm3) Find the point where the tangent to the curve y=x2 is parallel to x axis.4) Show that y = Sinx is increasing in (0,π/2)5) Find slope of tangent to curve y = 3 x4−4 xat x =4

2 Marks Questions

1. If rate of change of volume is equal to the rate of change of radius. Find radius of sphere .2. Find slop of tangent to the curve x=t 2+3t−8, y=2 t2−2t−5 at t =2

3. Total cost function C(x) in rupees associated with production of x units of an item is given by c(x)=0.007 x3−0.003 x2+15x+4000 . Find marginal cost when x=17 . Also find fixed cost.

4. Find rate of change of area of circle with respect to its radius r when r=4 cm.5. Find slope of normal to the curve y = 2x2– 3x at x =-1.6. Show that f(x) =3x+17 is strictly increasing on R7. Find the point on the curve y2=8x for which the abscissa and ordinate change at the same rate ?8. A man 2 meter high walks at a speed of 6 km/h away from a lamp post 6 m high.Find the rate at which the length

of his shadow increases. Also find the rate at which the tip the tip of the shadow is moving away from the lamp post.

9. A particle moves along the curve 6y=x3+2. Find the points on the curve at which y coordinate is changing 8 times as fast as the x coordinate.

10. Using derivatives , find the approximate value of √27

4 Marks Questions

1. Find the interval at which function f(x)= 32

x4

−4 x3−45 x2+51

i. Strictly increasingii. Strictly decreasing

2. Find the value of x for which y = x2¿ is an increasing function.

3. Sand is pouring at the rate of 12 cm2/s. the falling sand forms a cone on the ground in such a way that height is always one sixth of radius of base. How fast is the height of the sand cone increasing when height is 4 cm.

4. Determine the interval where f(x) = sinx- cosx 0≤x≤2x is strictly increasing or decreasing.5. Find the equation of normal at the point (am2,am3)

for curve ay2=x3

6. Prove that curve x=y2 and xy=k cut atright angles if 8k2 =17. Using differential find approximate value of √49.5


8. Find equation of tangent to the curve x = sin3t y= cos2t at t = π4

9. Find the point on the curve y=x3 at which slope of tangent is equal to y coordinate of the point .10. The side of an equilateral triangle is increasing at the rate of 2 cm/s. at what rate is to area increasing when

side of triangle is equal to 20 cm.11. Find the absolute maximum and minimum values of the f(x)=sinx +cosx ,x∈ [0,π].

6 Marks Questions

1. A wire length 28 m is cut into two pieces. One of the two pieces is to be made into a square and other into a circle. What should be length of two pieces so that the combined area of them is minimum?

2. Show that the height of cone of maximum volume that can be inscribed in a sphere of radius of

3. Show that the semi vertical angle of the cone of the given surface area and maximum volume is sin−1 13

.

4. Find the area of the greatest isosceles triangle that can be inscribed in given ellipse having its vertex coincident with one extrimity of the major axis.

5. An open box with square base is to be made out of a given quantity of a card board of area c2 units.Show that the maximum volume of the box is c3/6√ 3

6. Show that the rectangle of maximum perimeter which can be inscribed in a circle of radius r is a square of r√ 2

8 .Prove that the radius of the right circular cylinder of greatest curvedsurface area which can be inscribed in a given cone is half of that of the cone.

9 .If length of three sides of a trapezium other than base is equal to 10cm each, then find the area of the trapezium when it is maximum.

DIFFERENTIAL EQUATIONS

ONE MARK QUESTIONS

1. Write the degree and order of the differential equationd2 yd x2 + dy

dx+e y=0

2. Find the degree and order of the differential equation

12

3. Write theorder and degree of the differential equationd2 yd x2 +¿

4. Find the degree and order of the differential equation:( dydx )

3

+ y= x

5. Find the degree and order of the differential equation√b2+c2


6. Find the sum of order and degree of the differential equation5 x ( dydx

)2

− d2 yd x2 −6 y=log x

7. Find the sum of order and degree of the differential equation: xy d2 yd x2 +x(

dydx

¿¿2− y dydx

=0

8. Find the sum of order and degree of the differential equation

12

9. If p is the order of the differential equation and q is the degree of the differential equation12

, then find the value of 3 p−q

.10. Find the sum of the order and the degree of the following differential equation

y=x ( dydx )

2

+3 x2

TWO MARKS QUESTIONS

1. Form a differential equation representing the family of curvesy=mx, where, m is arbitrary constant.

2. Find the integrating factor of the differential equation :

π2

3. Form a differential equation representing the family of curves y=a sin (x+b ) , where a, b are arbitrary constants.

4. Find the general solution of the differential equation dydx

=1+ y2

1+x2 .


= x+12− y

,( y ≠2¿


=1−cos x1+cos x

.


=sec2 x tan y .

8. Find the general solution of the differential equation cos(dydx

¿=a , a∈R


= 11+x2 .

10. Form a differential equation representing the family of curves y=a sin (bx+c ), where a, c are arbitrary constants.

11. Find the particular solution of the differential equation dydx

=−4 x y2 given that y=1. And x=0.

12. Find the general solution dydx

=√4− y2(-2˂y<2).


13. Find the general solution of differential equation: dydx

=sin−1 x.

14. Find the general solution of the differential equation: Y log y dx−xdy=0

15. Solve the differentials equation xy dydx

=( x+2 ) ( y+2 ) ,

16. Form the differential equation representing the family of curves y=ae3 x+b e−2 x, where a and b are arbitrary constants.

17. Find the general solution dydx

=ex+ y

18. Solve dydx

=e− y cos x

19. Solve the differential equation: dydx

=1+x+ y+xy .

20. Solve the differential equation: dydx

= y tanx

4 MARK QUESTION

1. In a bank, principal increases continuously at the rate of r% per year .Find the value of r if Rs. 100 double itself in 10 years (log e 2=0.6931 ¿.

2. At any point (x, y) of a curve, the slope of the tangent is twice the slope of the line segment joining the point of the contact to the point (-4,-3) , Find the equation of the curve given that it passes through (-2,-1).

3. The volume of spherical balloon being inflated changes at a constant rate .if initially its radius is 3 units and after 3 seconds it is 6 units .Find the radius of balloon after t seconds.

4. Find the equation of a curve passing through the point (-2,3) ,given that slope of the tangent to

the curve at any point (x,y) is 2 xy2 .

5. Form the differential equation representing the family of ellipses having foci on x –axis and centre at origin.

6. Find the particular solution of the differential equation satisfying the given condition

dydx

= y tan x , given that y=1 when x=0

7. Find the particular solution of the differential equationlog( dydx )=3 x+4 y giventhat y=0∧x=0.

8. Solve the following differential equation: x dy

dx+ y=x log x , x≠0 .

9. Solve the following differential equation (1+x2) dy

dx+ y=tan−1x

.


10. Solve the following differential equation:x log x dy

dx+ y=2 log x

11. Solve the following differential equation: (x2 – y2 ) dx + 2xy dy = 0 given that y = 1 when x = 1

12. Solve the following differential equation:

dydx

=y (2 y−x )x (2 y+x ) , if y = 1 when x = 1

13. Solve the following differential equation :cos2 x dy

dx+ y=tan x

14. Solve the following diff. eq : x dy

dx= y−x tan( y

x )15. Solve the following diff. eq:

dydx

+ y=cos x−sin x

16. Find the particular solution of

dydx

− yx

+cos ec( yx )=0

; y = 0 when x = 1

17. Find the particular solution of the differential equationdydx

+ y cot x=4 xcos ecx , ( x≠0) ,given that y = 0

when x = π /2 .

18. Solve the following diff. eq.:( x2−1 ) dy

dx+2 xy= 2

x2−1 .

19. Solve the differential equation x cos ( yx )

dydx = y cos (

yx ) + x .

20. Find the general solution of the differential equation dydx + y cot x = 2x + x2 cot x, where x≠0.

21. Solve the differential equation x dydx –y + xsin

yx =0.

22. Solve the differential equation :xdydx

= y−xtan( yx )

23. Solve the differential equation:2 y . exy dx+( y−2 xe

xy ) dy=0 .

24. Check the type of following differential equation and solve it:(x-y)(dx+dy) = dx-dy given that y= -1 when x=0.

25. Solve the differential equation dydx

+ ycotx=4 xcosecx , x≠ 0 ,given that y=0 ,x=π2

26. Solve the differential equation xdy – ydx = √ x2+ y2dx.

27. Solve the following differential equation xlogx dydx +y = 2logx.

6 Marks QUESTION1. In a culture, the bacteria count is 1, 00,000.The number is increased by 10% in 2 hours .In how

many hours will the count reach 2,00,000, if the rate of growth of bacteria is proportional to the number present?

2. Show that given differential equation is homogeneous and solve it:


{xcos( yx )+ ysin( y

x )}ydx ={ysin( yx )−xcos ( y

x )}xdy.

3. Find the equation of a curve passing through the point (0,2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5.

4. Define homogeneous differential equation and solve the differential equation ( xdy – ydx)

ysin( yx ) = ( ydx +xdy) xcos ( y

x ).5. Solve the differential equation ye

xy dx = (xe

xy +y2 ¿dy.

6. The population of a village increases continuously at the rate proportional to the number of its inhabitants present at any time. If the population of the village was 20,000 in 1999 and 25,000 in the year 2004.Wat will be the population of the village in 2009?

7. Solve the differential equation [ e−2√ x

√ x− y

√x ] dxdy

=1,x≠0, when y=1,x=0

8. Show that the differential equation representing one parameter family of curves ( x2− y2 )=c (x2+ y2)2 is (x3-3xy2)dx = ( y3−3 x2 y )dy

9. Find equation of a curve passing through origin if the slope of the tangent to the curve at any point (x,y) is equal to the square of the difference of abscissa and ordinate of the point .

10. Find the particular solution of the differential equation log (dydx

¿ = 3x+4y , given that y=0 when

x=0.11. Check the type of following differential equation and hence solve it:

xdydx + y –x +xycotx =0 .x≠0.

12. Check whether the following differential equation is homogeneous , hence solve : (x3 + y3 )dy– x2ydx = 0

13. Solve the following differential equation:dydx

+ 4 xyx2+1

= - 1

( x2+1 )3

14. . ˇwhether the following differential equationis homogeneous , hence solve : ( x2+xy )dy = ( x2+ y2 )dx15. Define linear differential equation and solve the following :

(2 y2+ x)dy =y dx ,given y(2)=1

CHAPTER : VECTOR

1 Marks

1. If a is a non zero vector and k is a scalar such that |k a|=1,then find k.


2. If a=3 i− j+2 k , find the unit vector in the direction of a whose magnitude is 3 units.

3. Find the value of λ so that the i−λ j+3 k and 4 i−5 j+2 k are perpendicular to each other.

2 Marks1. Let a = 2i− j+ k ,b = i+2 j−k and c = i+ j−2k be three vectors.Find a vector in the

plane of b∧c whose projection on a is of magnitude √ 23

2. Find position vector of a point which divides the join of P(3, 1, -2) and Q(1,-3, 4) internally in the ratio 3 : 2

3. Show that the points whose position vectors are (2,-1,1) , (1.-3.-5) & (3,-4,-4) are vertices of

a right triangle.

4. If aand b are position vectors of A and B respectively, then find the position vector of a

point C in AB produced such that AC = 3 AB.

5. Find the value of (a−b¿×¿)

6. Find with the help of vectors, the area of the triangle with vertices A(3,-1,2) , B(1,-1,-3) and C(4,-3,1)

7. If a=2 i+2 j+3 k ,b=− i+2 j+ k and c=3 i+ j such that a+λb is perpendicular to c, then find the value of λ

8. Find the projection of the vector i− j on the vector i+2 j

9. Find the angle between two vectors 3 i−2 j−6 k and 4 i− j+8 k

10 Find an unit vector in xy plane that makes an angle of 45° with the vector i+ j and an angle of 60° with the vector 3 i−4 j.

4 Marks


1. Find the value of a for which 2 i− j+k ,i+2 j−3 k and 3 i+a j+5 k are coplanar.

2. If ( a× b )2+( a. b )2= 144 and |a|=4 then find |b|

3. If the vectors ai + j +k ,i +b j +k and i + j +c k (a≠b≠c≠1) are coplanar then find the

value of 11−a + 1

1−b + 11−c

4. A tetrahedron has vertices at O(0,0,0),A(1,2,1),B(2,1,3) and C(-1,1,2).Then find the angle between the faces OAB and ABC .

5. Find the angles of the triangle whose vertices are A(-1,-2,-3) , B(2,0,3) and C(4,6,0)

6. If x and y are two unit vectors and θ is the angle between them, then 12|x− y| is

equal to what?

7. If a,b ,c are unit vectors such that a+b +c =0 then find the value of a.b +b .c+c.a

8. Two planes are perpendicular to one another.One of them contains a and band the other contains vector c and d ,then find (a× b).(c ×d)

9. If a and b be two unit vectors and α be the angle between them ,then find the value of α such that a+b is a unit vector.

10. If a × b =c ×d and a × c = b× d , then show that (a−d ¿ is parallel to (b−c ¿,it is being given that a ≠ d and c ≠ b

11. If A,B,C be the vectors of length3,4,5.Let A be ¿ ( B+C ),B be ¿ (C + A )and C be ¿

( A+ B ) then find the length of A+ B+C.

12. If |a+b| =5,|a|=3,|b|=4 then find |a−b|

13. Find two vectors of unit length which makes angles of 450 with (1,0,0) and are at right angles to (0,0,1)

6 Marks

1. Let a =i- j,b = j-k ,c =k-i .If d is a unit vector such that a.d =0,b.(c ×d )=0 then find d


2. If a=i+ j− k,b=i− j+ k and c is a unit vector perpendicular to the vector a and coplanar with a and b , then find a unit vectord perpendicular to both a and c

3-D GEOMETRY

1Marks Questions

1. Find the value of λ if a = i+3 j +k , b→=2 i− j−k and c

→=λ j +3 k are coplanar

2. Find the angle between the lines:

r→

=2 i−5 j+k +λ (3 i +2 j+6 k ) and r→

=7 i−6 k+ μ ( i+2 j+2k ) 3.

3. Write the DC,s of the line

2 x−31

=3 y +14

=1 −z3

4. If a line makes equal angles with the 3 co-ordinate axes then what are its DC’s.5. Find the intercepts made by the plane 3 x+4 y−2 z=12 along the coordinate’s axes.6. Write the equation of a line passing through (-1, 1, -1) and perpendicular to the plane .¿7. Convert the equation of plane to the Cartesian form ⋅(6−3+2)=4

8. If lines

x−12 p

= y +4−3

= z −12 and

x−23

=2 y −2p

= z1 are perpendicular, find the value of p.

9. Find the dc’s of normal to the plane 3 x+4 y−3 z+6=0.10. Write the equation of a line through 6−3+2and parallel to the vector 2+.

11. For what value of k, line

x−1k

= y +4−3k

= z −12 is parallel to the plane

3 x+4 y−3 z+6=0.

12. If lines x−1

1= y +4

−3= z −1

2 and x−2

3=2 − y

p= z

6 are parallel lines find the value of p.

13. Find the angle between plane 3 x+4 y−3 z+6=0 and the line x−2

3=2 y −2

1= z

1 .14. Find the angle between planes 3 x+4 y−3 z+6=0 and x−3 y−3 z+2=015. Define skew lines?16. Find the distance of plane , ⋅(2−3+6)=4, from the origin.17. Find the DC’s of the line passing through the points (2, -2, 4) and (0, 1, -2).

18. Write the general point on the line x−2

3= y −2

1= z

1 =λ

2Marks Questions1.Find the distanceof a point (2, 5 , –3 ) ¿ the plane ⋅ (6−3+2 )=4

2. If lines

x−12

= y +13

= z −14 and

x−31

= y −k2

= z1 intersect, then find the value of k

3. Find the equation of a plane passing through (1,-1, 1), (2, -1,-1) and containing the line:


x−23

=2 y −21

= z1 .

4. Find the equation of a plane, passes through the points (1, 1, 1), (2, -1,-1) and (3, -1,-2).5. Find the vector equation of the plane which makes equal angles along all the coordinate axes

and lies at a distance of 5√3unit from the origin.6. Find the angle between the lines:

r→

=(2+3 λ ) i +(−5+2 λ ) j+(1+6 λ ) k and r→

= (7+μ ) i +2 μ j+(−6+2μ ) k7. Find the vector and Cartesian equations of the plane passing through the point (2, 2, -1) ,(1,-

2,3) and parallel to the line

x−11

=2 y +12

= z+1−1

8. Find the distance between parallel planes r→ ⋅( 3 i + j -k ) = 15 and r

→ ⋅( 6 i +2 j -2k ) + 4 = 0.

9. Find the distance of point ( 2 i + j -k ) from the plane r→ ⋅( i + j +k ) = 6.

10. Show that the four points (0, –1, –1), (4, 5, 1), (3, 9, 4) and (– 4, 4, 4) are coplanar. Find the

dc’S of the line

x−22

=2 y −5−3

= z+11 .also determine the value of 3 l2+2 m2+6n2 .

11. Find the value of λ such that the linex−212

= y −1λ

= z−3−8 is perpendicular to the plane

3 x− y−2 z=7.

12. Find the distance between parallel lines

x−11

= y +12

= z+1−1 and

x−21

= y −12

= z−3−1

13. Find the angle between the line

x−12

= y +13

= z −14 and the plane r

→ ⋅( 3 i + j -k ) = 014. Write the vector equation of the line passing through (1,1,1) and making angles 60o with x axis,

30o with y axis and acute angle with z axis.

15. . If lines

x−22

= y +33

= z −4−4 and

x−3−2

= y −k3

= z−1 intersect , then find the value of k

16. Find the value of λ such that the linex−2

2= y −1

λ= z−3

−3 is perpendicular to the plane

r→ ⋅( 3 i + j -k ) = 0

04 MARKS

1. Show that the lines

x+23

= y+12

= z−32 and

x+1−1

= y−22

= z−55 are coplanar and also find

the equation of the plane containing the lines.2. Find the coordinates of the point where the line through the points A(3,4,1) and B(5,1,6)


crosses the XZ-Plane. Also find the angle which this line makes with the XZ-Plane.

3. Find the foot of perpendicular from the point P(1,2,3) on the line

x−63

= y−72

= z−72

.

4. Find the image of the point P(1,2,3) in the plane 3x- y +4z = 2.5. Find the equation of the plane through the points A(2,1,-1) and B(-1,3,4) and perpendicular to

the plane x -2y + 4z =10.6. Find the equation of the plane which is perpendicular to the plane 5x + 3y +6z + 8 =0 and

which contains the line of intersection of the planes x + 2y + 3z -4 =0 and 2x + y –z +5 =0

7. Find the values of a so that the following lines are skew:x−1

2= y−2

3= z−a

4, x−4

5= y−1

2=¿ z.

8. Find the equation of the plane passing through the point (1,1,1) and containing the line r = (-3i+ j+5 k )+ λ ¿3i− j−5 k ¿

9. Find the distance from the point (3,4,5) to the point ,where the linex−3

1= y−4

2= z−5

2 meets the plane x+ y+ z =2.

10. Prove that if a plane has the intercepts a,b,c and is at a distance of p units from the

origin, then

1a2

+ 1b2

+ 1c2

= 1p2

11. Find the equation of the plane passing through the point (−1, 3, 2) and perpendicular to each of the planes x + 2y + 3z = 5 and 3x + 3y + z = 0.

12. Find the distance of the point (2, 3, 4) from the line x+3

3= y−2

6= z

2 measured parallel

to the plane 3 x+2 y+2 z−5=0.13. Let P(3,2,6) be a point in the space and Q be a point on the line

r .=( i− j+2 k )+μ (−3 i+ j+5 k )thenfind the value of μ for which the vector PQ is parallel to the plane x – 4y + 3z = 1.

14. Find the vector and Cartesian equations of the plane which bisects the line joining the points ( 3,-2,1) and (1,4,-3) at right angles

15. Find whether the lines r =(i - j - k) + λ(2i + j) and r = (2i - j) + µ(i + j - k) intersect or not. If intersecting find their point of intersection.

16. Find the equations of the line which intersects the lines x−1

2 = y−2

3 = z−3

4 and

x+21 = y−3

2 = z+14

∧ passes throughthe point (1,1,1) .

17.Find the equation of the plane which contains the line of intersection of the planes

r→

. ( i + 2 j +3k )–4 = 0 ,r→

. (2 i + j –k )+ 5 = 0 and which is perpendicular to the

planer→

. (5 i + 3 j – 6k ) + 8 = 0.


18 If lines

x−12

= y +13

= z −14 and

x−31

= y −k2

= z1 intersect , then find the value of k and . hence

find the equation of the plane containing these lines.19.Find the shortest distance between the lines whose vector equations are

r→

=( i+ j)+λ (2 i− j+ k ) andr→

=(2 i + j−k )+ μ (3 i−5 j+2 k )

20.Find the distance of the point P(–1, –5, –10) from the point of intersection of the line . joining the points A(2, –1, 2) and B(5, 3, 4) with the plane x – y + z = 5. (CBSE 2014 )

21. Find the distance of the point (1, -2, 3) from the plane x – y + z = 5, measured

parallel to the line 632

zyx

22. Find the equation of the plane that contains the point (1, –1, 2) and

is perpendicular to each of the planes 2x+3y–2z=5 and x+2y–3z=8

23. Find the length of the perpendicular from the point (1,2,3) to the line

06 MARKS

1. Find the vector equation of the line passing through the point (1,2,3) and parallel to the planes

r. (i− j+2k ) =5 andr. (3 i+ j+k) =6.

2. Find the equation of the plane passing through the line of intersection of the planes x-2y+z=1 and 2x+y+z=8 and parallel to the line with direction ratios 1,2,1. Also find the perpendicular distance of P (1,3,2) from this plane.

3. Find equation of plane which contains the line of intersection of planesr. (i+ j+k ) = 1 and r. (2 i+3 j−k ) +4=0 and making equal intercepts on x and y axes.

4. Find equation of plane perpendicular to line of intersection of planes x+2y+3z-7=0 and 2x-3y+4z=0 and passing through the point (1, 1,-1).

5. Find the equation, length and foot of perpendicular drawn from the point P(1,3,4) in the plane 2x-y+z+3=0. Also find the image of point P on the plane.

A line passing through the point A with position vector is parallel to the vector

. Find the length of the perpendicular drawn on this line from a point P with position

vector .A line makes angles α, β, γ, δ with the four diagonals of a cube, Prove that

cos2α + cos2β + cos2γ + cos2δ =43 .


Find the equation of the line passing through the point (1,1,1) and perpendicular the linesr = (-3i + j + 5k) + λ(3i - j - 5k) and r = (-i + 2 j + 5k) + λ(i - 2 j - 5k).

Find the foot of the perpendicular from P(1,2,3) on the line x−6

3 = y−7

2 = z−7−2 and also image of

point of P with respect to line.10. Define skew lines and find the shortest distance between the lines

r = (1−t ) i+( t−2) j+(3−2 t )kr = (1+s ) i+(2 s−1) j−(2 s+1)k

11. Find the distance between the point ( -1, -5 , -10) and the point of intersection of the line x−2

3= y +1

4= z −2

12 and the plane x – y + z = 5.

12. If lines

x−12

= y +13

= z −14 and

x−31

= y −k2

= z1 intersect , then find the value of k and hence find

the equation of the plane containing these lines.13. A line passing through the point of A with position vector

a→= i+2 j+3 k to the vector b

→=2 i +4 j−6 k . Find the length of perpendicular drawn on this line from a

point P with position vector s→=i+2 j .also find the image of the point in the line.

14. Find the distance of the point (1.1.-1) from the line

x−12

= y +13

= z −11 measured parallel to the plane

2x+y+z+5=0.15. find the distance of the point (1,1,8) from the plane 2x+y+z+5=0 measured parallel to the line

x−12

= y +13

= z −11 .

Probability

ONE MARK QUESTIONS

If P(A) = 0.3, P(B) = 0.2, find P(B/A) if A and B are mutually exclusive events.1. Find the probability of drawing two white balls in succession from a bag containing 3 red and 5

white balls respectively, the ball first drawn is not replaced.1. A dice is thrown twice and sum of numbers appearing is observed to be 6. What is the

conditional probability that the number 4 has appeared at least once.

2. If P(A) = a→

, P(B) = x→

and a→

3. A bag contains 5 white, 7 red and 3 black balls. If three balls are drawn one by one without replacement, find what is the probability that none is red.


4. The probability of A hitting a target is x→

and that of B hitting is a→

. They both fire at the target. Find the probability that (i) at least one of them will hit the target, (ii) Only one of them will hit the target.

5. A coin is tossed thrice and all 8 outcomes are equally likely.E: “The first throw results in head” F: “The last throw results in tail” Are the events independent?

6. Given P(A) = a→

, P(B) = i¿

and P(A j¿ B) = k

¿

. Are the events independent?7. If A and B are independent events, Find P(B) if P(Ab

→ B) = 0.60 and P(A) = 0.35.8. Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards.

Find the probability distribution of the number of spades.9. 4 defective apples are accidentally mixed with 16 good ones. Three apples are drawn at

random from the mixed lot. Find the probability distribution of the number of defective apples.10. If a die is thrown 5 times, what is the chance that an even number will come up exactly times.11. An experiment succeeds twice as often it fails. Find the probability that in the next six trials,

there will be at least 4 success.12. A pair of dice is thrown 200 times. If getting a sum 9 is considered a success, find the mean

and variance of the number of success.13. A four digit number is formed using the digits 1, 2, 3, 5 with no repetitions. Find the

probability that the number is divisible by 5.14. A family has two children. What is the probability that both the children are boys, given that

atleast one of them is a boy?15. A random variable X has the following probability distribution

Determine k.16. If P(A) = ½ and P(B) = 0, Is P(A/B) defined or not?17. If the Variance of the probability distribution is 16/25, find its standard deviation.18. In six throws with a pair of dice, What is the probability of getting doublets in all six throws?

TWO MARKS QUESTIONS

1. If A and B are the two events such that P ( A ) = 35 , P ( B ) =

710 and P ( A∪B )= 9

10 then

find P ( A ∩ B ¿.2. A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is six. Find

the probability that it is actually a six.3. Given P(A) = 0.3, P(B) = 0.2, Find P(B/A) if A and B are mutually exclusive events.4. A die is thrown 120 times and getting 1 or 5 is considered success. Find the mean of number of

successes.

X 0 1 2 3 4 5 6 7

P(X) 0 k 2k 2k 3 k k 2k 5k


5. The parameters n and p are 12 and 1/3 for a binomial distribution. Find standard deviation.6. If on an average 1 ship in every 10 sinks, find the chance that out of 5 ships 4 will arrive safely.7. Find the probability of throwing almost 2 sixes in 6 throws of a single dice.8. The mean and variance of a binomial distribution are 4 and4/ 3. Find P(X≥ 1).9. 6 boys and 6 girls sit in a row at random. Find the probability that the six girls sit together.10. A random variable X has following probability distributions.

X 0 1 2 3 4 5 6 7P(X)

0 k 2k

2k

3k

k2

2k2

7k2

+ k

Find (i) k (ii) P(X<3)11. Find the probability of throwing at most 2 sixes in 6 throws of a single die.12. Find the mean of the binomial distribution B(4 ,).13. Find the probability distribution of number of doublets in three throws of a pair of dice.

14. If P(A) = 25 , P(B) =

13 P(A ∩ B ¿ =

15 , then find P( A'

B' ) .

15. If A and B are independent events such that P(A) = y,P(B) = 2y and P(exactly one of A,B) = 5/9,then find the value of y.

16. A problem in statistics is given to three students whose chances of solving it are 12

, 13 ,and

14 .

what is the probability that only one of them solves it correctly?17. Four cards are drawn successively with replacement from a well shuffled deck of 52 cards.

what is the probability that all the four cards are spades?FOUR MARKS QUESTIONS

1. A bag contains 4 green and 6 white balls. Two balls are drawn one by one without replacement. If the second ball drawn is white, what is the probability that the first ball drawn is also white?

2. A bag X contains 4 white and 2 black balls. Bag Y contains 3 White and 3 black balls. Two balls are drawn without replacement at random from one of the bags and were found to be one white and one black. Find the probability that balls were drawn from bag Y.

3. The probabilities of two students A and B coming to the school in time are 3/7 and 5/7 respectively. Assuming that the events, ‘ a coming in time’ and ‘B coming in time’ are independent, find the probability of only one of them coming to the school in time.Write at least one advantage of coming to school in time.

4. By examining the chest X-ray , the probability that TB is detected when a person actually suffering is 0.99 . The probability of incorrect diagnosis is 0.001. In a certain city one in thousand persons suffer from TB . A person selected at random and is diagnosed to have TB. What is the chance that he actually has TB.

5. A speaks truth in 70%of the cases and B speaks truth in 80 %of the cases .In what percentage of the cases :- (i) They contradict each other in stating the same fact? (ii) They agree each other in stating the same fact?


Truth is very closely related with our national movement. How?6. In a set of 10 coins,two coins are with heads on both the sides. A coin is selected at random

from this setand tossed five times. If all the five times, the result was heads, find the probability that the selected coin had heads on both the sides.

7. How many times must a fair coin be tossed so that the probability of getting at least one head is more than 80%?

8. A and B throw a die alternatively till one of them gets a ‘6’ and wins the game. Find

their respective probabilities of winning, if A starts first. Is throwing a die will give fair

decision? What value you develop among students by throwing a die.

9. Given three identical boxes I, II and III, each containing two coins. In box I, coins are gold

coins, in box II, both are silver coins and in the box III, there is one gold and one silver coin. A

person chooses a box at random and takes out a coin. If the coin is of gold, what is the

probability that the other coin in the box is also of gold?

10. A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is a six. Find

the probability that it is actually a six. Why should wealways speak truth?

11. In a group of 50 scouts in a camp, 30 are well trained in first aid techniques while the

remaining are well trained in hospitality but not in first aid. Two scouts are selected at random

from the group. Find the probability distribution of number of selected scouts who are well

trained in first aid. Find the mean of the distribution also. Write one more value which is

expected from a well-trained scout.

SIX MARKS QUESTIONS1. An Insurance Company insured 2000 scooter drivers, 4000 car drivers and 6000 truck drivers. The

probability of an accident involving a scooter, a car and a truck is 0.01, 0 .03 and 0.15 respectively. If a driver meets an accident, what is the chance that the person is a scooter driver? What is importance of insurance in everybody’s life.

2. A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be both diamonds. Find the probability of the lost card being a diamond. Does it better not to tell any person regarding loss of the card while playing ?

3. A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is a six. Find the probability that it is actually a six. Write at least one drawback of telling lie.(VBQ)

4. A factory has two machines A and B. Past record shows that machine A produced 60% of the items of output and machine B produced 40% of the items. Further, 2% of the items produced by


machine A and 1% produced by machine B were defective. All the items are put into one stockpile and then one item is chosen at random from this and is found to be defective. What is the probability that it was produced by machine B?

5. An urn contains 5 red and 5 black balls. A ball is drawn at random, its colour is noted and is returned to the urn. Moreover, 2 additional balls of the colour drawn are put in the urn and then a ball is drawn at random. What is the probability that the second ball is red?

6. A laboratory blood test is 99% effective in detecting a certain disease when it is in fact, present. However, the test also yields a false positive result for 0.5% of the healthy persontested (that is, if a healthy person is tested, then, with probability 0.005, the test will implyhe has the disease). If 0.1 percent of the population actually has the disease, what is the probability that a person has the disease given that his test result is positive?

7. On a multiple choice examination with three possible answers (out of which only one is correct) for each of the five questions, What is the probability that a candidate would get four of or more correct answers just by guessing?

8. Find the probability of throwing at most 2 sixes in 6 throws of a single throw a die.9. An

experiment succeeds thrice as often as it fails. Find the probability that the next five trails, there will be at least 3 successes.

10. A random variable has following probability distribution:

Determine: (i) k (ii) P( X<3) (iii) P( X>6) (iv) P(0< X<3)11. Two cards are drawn simultaneously (without replacement) from a well- shuffled pack of 52 cards.

Find the mean and variance of the number of red cards.12. Two numbers are selected at random without replacement from first 6 positive integers,Let X

denote the largest of the two numbers obtained. Find the probability distribution of X also find the expectation of X.

13. A man is known to speak the truth 3 out of 5 times. He throws a die and reports that it is a number

greater than 4.find the probability that it is actually a number greater than 4.

14. Coloured balls distributed in three bags as shown in the following table:

Bag Colour of the ball

Black White Red

I 1 2 3

II 2 4 1

III 4 5 3

A bag is selected at random and then two balls are randomly drawn from the selected bag. They

happen to be black and red. What is the probability that they came from bag I?

15. A bag contains four balls. Two balls are drawn at random, and are found to be white. What is the

X 0 1 2 3 4 5 6 7

P(X) 0 k 2k 2 k 3 k k 2 2k2 7 k2+k


probability that all ball are white?

16. Suppose a girl throws a die. If she gets 5 or 6, she tosses a coin 3 times and notes the number of heads.

If she gets 1,2,3 or 4 she tosses a coin once and note whether a head or tail is obtained. If she obtained

exactly one head, what is the probability that she threw 1,2,3, or 4 with the die?

17. In a set of 10 coins, two coins are with heads on both the sides. A coin is selected at random from

this set and tossed five times. If all the five times, the result was heads, find the probability that the

selected coin had heads on both the sides.

Chemistry

HOLIDAYS HOMEWORK(SUBJECT CHEMISTRY)

SESSION 2019-20(CLASS XII)

INTEXT QUESTIONS OF CHAPTER SOLUTION, ELECTROCHEMISTRY ,CHEMICAL KINETICS,HALOALKANES AND HALOARENES AND AMINES.

NCERT BACK EXERCISE QUESTIONS OF SAME CHAPTERS GIVEN ABOVE. REVISE ALL THE GIVEN ASSIGNMENTS . COMPLETE ALL THE HOME TESTING WORKSHEETS BASED ON PREVIOUS CBSE QUESTIONS. PREPARE FOR MONTHLY TEST AND PERIODIC TEST. PREPARE INVESTIGATORY PROJECT COMPLETE THE PRACTICAL FILES AND GIVEN ASSIGNMENT

SYLLABUS FOR MONTHLY TEST : SOLUTION , ELECTROCHEMISTRY, AMINES AND HALOARENES AND HALOALKANES

SYLLABUS FOR PERIODIC TEST :SOLUTION , ELECTROCHEMISTRY,CHEMICAL KINETICS , AMINES AND HALOARENES AND HALOALKANES.

“Believe in yourself and all that you are. Know that there is something inside you that is greater than any obstacle.”

ALL THE BEST FOR YOUR HOLIDAYS

HOLIDAYS HOMEWORK(SUBJECT CHEMISTRY)

SESSION 2019-20(CLASS XII)

INTEXT QUESTIONS OF CHAPTER SOLUTION, ELECTROCHEMISTRY ,CHEMICAL KINETICS,HALOALKANES AND HALOARENES AND AMINES.

NCERT BACK EXERCISE QUESTIONS OF SAME CHAPTERS GIVEN ABOVE.


REVISE ALL THE GIVEN ASSIGNMENTS . COMPLETE ALL THE HOME TESTING WORKSHEETS BASED ON PREVIOUS CBSE QUESTIONS. PREPARE FOR MONTHLY TEST AND PERIODIC TEST. PREPARE INVESTIGATORY PROJECT COMPLETE THE PRACTICAL FILES AND GIVEN ASSIGNMENT

SYLLABUS FOR MONTHLY TEST : SOLUTION , ELECTROCHEMISTRY, AMINES AND HALOARENES AND HALOALKANES

SYLLABUS FOR PERIODIC TEST :SOLUTION , ELECTROCHEMISTRY,CHEMICAL KINETICS , AMINES AND HALOARENES AND HALOALKANES.

“Believe in yourself and all that you are. Know that there is something inside you that is greater than any obstacle.”

ALL THE BEST FOR YOUR HOLIDAYS

ASSIGNMENT FOR HOLIDAYS

Reasoning Based Questions (6 marks)

UNIT: 10 Haloalkanes and Haloarenes.

1. Sulphuric acid is not used during the reaction of alcohols with KI.

2. Alkyl halides are generally not prepared in laboratory by free radical halogenations of alkanes.

3. The boiling points of alkyl halides decrease in the order: RI > RBr > RCl > RF.

4. Haloalkanes have higher boiling points as compared to those of corresponding alkanes.

5. The dipole moment of chlorobenzene is lower than that of cyclohexyl chloride.

6. Alkyl halides, though polar, are immiscible with water.

7. Grignard reagents should be prepared under anhydrous conditions.

8. Aryl halides are extremely less reactive towards Nucleophilic Substitution reactions.

9. p - nitro chlorobenzene undergoes nucleophilic substitution faster than chlorobenzene

10.The treatment of alkyl chlorides with aq.KOH leads to the formation of alcohols but in the presence of alc.KOH alkenes are major products.

11.Haloalkanes react with KCN to form alkyl cyanides as main product while AgCN forms isocyanides as main product.

12.Allyl chloride is more reactive than n - propyl chloride towards nucleophilic substitution reaction.

13.P-Dichlorobenzene has higher m.p and solubility than those of o- and m- isomers.


14.Chloroform is stored in closed dark coloured bottles.

15.Although chlorine is an electron withdrawing group, yet it is ortho-, para- directing in electrophilic aromatic substitution reactions.

UNIT: 13 AMINES

1. Amines are less acidic than alcohols of comparable molecular masses.

2. Primary amines have higher boiling point than tertiary amines?

3. Aromatic primary amines cannot be prepared by Gabriel phthalimide synthesis?

4. Gabriel phthalimide synthesis is preferred for synthesising primary amines.

5. Ethylamine is soluble in water whereas aniline is not.

6. Aniline is soluble in aqueous HCl?

7. Methylamine in water reacts with ferric chloride to precipitate hydrated ferric oxide.

8. Although amino group is o– and p– directing in aromatic electrophilic substitution reactions, aniline on nitration gives a substantial amount of m-nitroaniline.

9. Direct nitration of aniline is not carried out. Explain why?

10. NH2 group of aniline acetylated is before carrying out nitration?

11. Aniline does not undergo Friedel-Crafts reaction.

12. Benzene diazonium chloride is not stored and is used immediately after its preparation?

13. Diazonium salts of aromatic amines are more stable than those of aliphatic amines.

14. The presence of a base is needed in the ammonolysis of alkyl halides.

15. The observed Kb order Et2 NH Et3N EtNH2in aqueous solution .where Et is ethyl

16. Aliphatic amines are stronger bases than aromatic amines?

17. MeNH2 is stronger base than MeOH?

18.pKb of aniline is more than that of methylamine.

19.Arrange the following in increasing order of basic strength

a. C2H5NH2, C6H5NHCH3, (C2H5)2NH and C6H5NH2

b. Aniline, p-nitroaniline and p-toluidine

c. C6H5NH2, C2H5NH2, (C2H5) 2NH, NH3


d. C2H5NH2, (C2H5) 2NH, (C2H5) 3N,NH3

e. C2H5NH2, C6H5NHCH3, (C2H5) 2NH, C6H5NH2

f. C6H5NH2, C6H5NH(CH3)2, (C2H5) 2NH,CH3NH2

g. C6H5NH2, C6H5N(CH3)2, (C2H5)2NH and CH3NH2

h. C6H5NH2, C6H5NHCH3, C6H5CH2NH2.

i. (C2H5)2NH , (C2H5)3N , C2H5NH2 NH3

j. (CH3)2NH , CH3NH2 ,(CH3)3N,NH3

Mechanism Based Questions (2-3marks)


1. Explain the SN1 & SN2 mechanism with suitable examples.2. In the following pairs of halogen compounds, which would undergo SN2 reaction faster?

3. Predict the order of reactivity of the following compounds in SN1 and SN2 reactions: (i)The four isomeric bromobutanes

(ii) C6H5CH2Br, C6H5CH (C6H5) Br, C6H5CH (CH3) Br, C6H5C(CH3)(C6H5)Br

4. Which alkyl halide from the following pairs would you expect to react more rapidly by an SN2 mechanism? Explain your answer.

5.In the following pairs of halogen compounds, which compound undergoes faster SN1 reaction?


6. Which compound in each of the following pairs will react faster in SN2 reaction with –OH?(i) CH3Br or CH3I (ii) (CH3)3CCl or CH3Cl

7. Arrange the compounds of each set in order of reactivity towards SN2 displacement (i)2-Bromo-2-methylbutane, 1-Bromopentane , 2-Bromopentane

(ii) 1-Bromo-3-methylbutane, 2-Bromo-2-methylbutane, 3-Bromo-2-methylbutane(iii) 1-Bromobutane, 1-Bromo-2,2-dimethylpropane, 1-Bromo-2-methylbutane, 1-Bromo-3-methylbutane

Name Reactions Based (2-3marks)


1.Wurtz reaction 2.Wurtz-Fittig reaction 3.Fittig reaction 4.Finkelstein reaction 5.Swarts reaction

UNIT: 13 AMINES1.Hoffmann bromamide degradation reaction 2. Gabriel phthalimide synthesis 3.Ammonolysis4.Carbylamine reaction 5.Acylation 6.Diazotisation 7.Sandmeyers reaction 8.Gatterman reaction9.Coupling reaction

Complete the Organic Reactions (2-3 marks)


2.Give the structures of A, B and C in the following reactions:

Computer science python ***********PYTHON PROGRAMS FOR CLASS XiI ********************1.""" Program to Calculate Simple Interest """p = eval(input("Enter Principle? "))r = eval(input("Enter Rate? "))t = eval(input("Enter Time? "))si = p *r * t/100print("Simple interest = ", si)2.""" Program to Calculate Compound Interest """p = eval(input("Enter Principle? "))r = eval(input("Enter Rate? "))t = eval(input("Enter Time? "))A = p * (1 + r/100) ** tCI = A - pprint("compund interest = ", CI)3.""" Area of Triangle"""import matha = eval(input("Enter first side? "))b = eval(input("Enter second side? "))c = eval(input("Enter third side? "))s = (a + b + c) / 2area = math.sqrt(s *(s-a)*(s-b)*(s-c))print("Area = ", area)4."""To check number is even or odd"""num = eval(input("Enter any number ?"))if num % 2 == 0:print ("EVEN NUMBER...")else:print ("ODD NUMBER...")


5."""Checking Divisibility """a = eval(input("Enter first number? "))b = eval(input("Enter second number? "))if a % b == 0:print (a, " is divisible by ", b)else:print (a, " is NOT divisible by ", b)6."""Roots of a Quadratic Equation"""import math as ma = eval(input("Enter value for a ?"))b = eval(input("Enter value for b ?"))c = eval(input("Enter value for c ?"))d = b ** 2 - 4 * a * cif d >=0:r1 = (-b + m.sqrt(d))/ (2 * a)r2 = (-b - m.sqrt(d))/ (2 * a)print("Root1 = ", r1, "\nRoot2 = ", r2)else:print("Root are imaginary")7."""Calculating grades on total marks"""tot_marks = eval(input("enter total marks obtained by student ? "))percent = tot_marks / 5if percent >= 90:grade = "A"elif percent >= 75:grade = "B"elif percent >= 60:grade = "C"else:grade = "D"print ("your percentage is ", percent, "and grade is : ", grade)8."""Calculating income Tax"""gs = eval(input("Enter gross salary : ?"))if gs<=100000:it = 0elif gs <=500000:it = (gs - 100000) * 10/100elif gs <=1000000:it = 10000 + (gs - 500000) * 20/100else:it = 25000 + (gs - 1000000) * 30/100print("Income tax to be paid = ", it)9."""Maximum of 3 numbers"""a = eval(input("Enter value for a ?"))b = eval(input("Enter value for b ?"))


c = eval(input("Enter value for c ?"))if a>b:if a>c:max = aelsemax = celse:if b>c:max = belse:max = cprint("Maximum = ", max)10."""Finding absolute value """num = eval(input("Enter any number :"))num1 = numif num < 0 :num1 = -1 * num # we can also write it as num1 = -numprint("Absolute value of ", num, "is = ", num1)11."""Printing even numbers between 1 to N"""x = 2N = eval(input("Enter the limit N? "))while x <=N:print(x)x += 212."""Sum of Digits for a given number"""Sum = 0; Rem=0num = eval(input("Enter any number "))while num > 0:Rem = num % 10Sum = Sum + Remnum = num //10print("Sum of digits = ", Sum)13."""Reverse of a number"""rev = 0; Rem=0num = eval(input("Enter any number "))while num > 0:Rem = num % 10rev = (rev * 10) + Remnum = num //10print("Reverse of the given number = ", rev)14."""Factorial of a given number"""x = 1; fact = 1N = eval(input("Enter the number N? "))while x <=N:fact = fact * x


x += 1print("Factorial of ", N, " = ", fact)15."""Print Fibonacci series upto N terms """a = 0; b=1; count = 2N = eval(input("Enter number of terms to be printed"))print ("Fibonacci series upto ", N, "terms are : ",a ,b, end = ' ')while count < N:c = a + b;print(c, end = ' ')a= b;b = ccount= count + 116."""Factorial of a given number"""N = eval(input("Enter any number :"))fact = 1for i in range(N, 1, -1):fact = fact * iprint("Factorial of ", N, " = ", fact)17."""To check the given number is prime or NOT? """flag = 1N = eval (input("Enter any number : "))for i in range(2, N):if ( N % i == 0):flag = 0if(flag == 0):print("Number", N, "is NOT Prime")else:print("Number", N, "is Prime")18.#Program to Sort 3 Numbers in ascending ordera = eval(input("Enter value for a ?"))b = eval(input("Enter value for b ?"))c = eval(input("Enter value for c ?"))if a<b :if a < c:if b<=c:print ("Numbers in ascending order are = ", a, b, c)else:print ("Numbers in ascending order are = ", a, c, b)else:print ("Numbers in ascending order are = ", c, a, b)else:if b < c:if a<=c:print ("Numbers in ascending order are = ", b, a, c)else:print ("Numbers in ascending order are = ", b, c, a)


else:print ("Numbers in ascending order are = ", c, b, a)19."""To Sum first N terms of the series 2/5 + 4/10 + 6/15 + 8/20 +... + N terms"""N = eval(input("Input number of terms to be sum : "))num = 2den = 5sum = 0for i in range(1, N+1):sum = sum + num/dennum = num + 2den = den + 5print("sum of first ", N , "terms = ", sum)ORN = eval(input("Input number of terms to be sum : "))sum = 0for i in range(1, N+1):sum = sum + (2*i)/(5*i)print("sum of first ", N , "terms = ", sum)20."""Calculating compound interest using loop"""P = eval(input("Enter value for Principle :"))R = eval(input("Enter value for rate :"))T = eval(input("Enter value for Time(in years) :"))si = 0; ci = 0; amt = 0amt = P;for t in range(1, T+1):si = amt * R * 1/100amt = amt + si;ci = amt - Pprint("Compound Interest = ", ci)21."""Multiplication table"""N = eval(input("Enter any number :"))fact = 1print("Multiplication table of ", N, "is : \n")for i in range(1, 11):print(N , " X", i, "= ", N*i)22."""Pattern112123123412345"""for i in range(1, 6):for j in range(1,i+1):print(j, end = ' ')print()23.


"""Pattern122333444455555"""for i in range(1, 6):for j in range(1,i+1):print(i, end = ' ')print()24."""Pattern***************"""for i in range(5, 0, -1):for j in range(i,0, -1):print("*", end = ' ')print()25."""Pattern** ** * ** * * ** * * * *"""for i in range(1, 6):for k in range(10, i, -1):print(' ', end = '')for j in range(1,i+1):print("* ", end = '')print()

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