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HOLIDAYS HOMEWORK FOR CLASS XI [2017-2018] SCIENCE STREAM Note: The Assignment should be done in Class Work notebook & Submit on 14 th July 2017. ENGLISH Q 1 Your school is organizing a two day Integration Camp at Sawan Public School, Mehrauli involving special children. There will be art work ,music, song and dance competitions. As Cultural in charge, draft a notice inviting names of the participants from classes XI-Xii. Q 2 You are the Medical Suprintendent of Jeevan Jyoti Hospital, Okhala, New Delhi. Give a suitable advertisement for two staff nurses in the ‘Situation Vacant’ columns of The Times Of India, New Delhi. Q3 An experienced Production Manager conversant with latest techniques in cement production seeks placement in a reputed company. Write an advertisement for publication in the ‘Situation Wanted’ column of a national daily. Q 4 You are running a real estate in South Delhi. Write an advertisement for Saturday ‘Prime Estate’ column of ‘The Times Of India’, New Delhi, giving details of flats/ bungalows available for rent. Q 5 You are B.C. Rajan of 65, Mayur Vihar-I, Delhi. You want to set up a small furniture factory cum sales room in Gurgaon. Draft an advertisement seeking a suitable building on rent. Your advertisement is to be published in the ‘ Accommodation Wanted’ columns of a leading news paper. Q 6 After passing the secondary school examination, a candidate has to make a very difficult choice from a number of streams available to him for further study at the senior school level. There is no valid mechanism to assess the suitability of a candidate for a particular stream. Write a letter to the Editor of a national daily emphasizing the need of a educational counselors for guidance in this matter in each school. You are Vinita / Vinay of 48, Agra Fort , Agra. Q 7 India Assurance Company, New Delhi, has given an advertisement in ‘ The Hindustan Times’ for recruitment of Management Trainees to be groomed as managers of their company. Apply for the same, giving your detailed biodata. Invent all necessary details. You are Aman / Aditi, 54-A, Gulab Road, Lucknow. NOTE: All the students are advised to revise all the topics covered (Chapters, Poems and Novel) from BBC Literary Companion for July Unit Test. Physics 1. Arrange four types of basic forces in the order of increasing strength. 2. Does magnitude of a quantity changes with change in the system of units? 3. Can there be a physical quantity which has no units & no dimensions? BCM SCHOOL A Senior Secondary School , Affiliated to CBSE, New Delhi SEC 32- A CHANDIGARH ROAD, LUDHIANA Web Site:- www.bcmschools.org

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Page 1: BCM SCHOOLbcmschools.org/upload/cmsimg/XI_Holidays_Homework.pdf · Find the displacement of the particle when its velocity is zero. 56. A particle having initial velocity 10 m/s moves

HOLIDAYS HOMEWORK FOR CLASS XI [2017-2018] SCIENCE STREAM

Note: The Assignment should be done in Class Work notebook & Submit on 14th July 2017. ENGLISH

Q 1 Your school is organizing a two day Integration Camp at Sawan Public School, Mehrauli involving

special children. There will be art work ,music, song and dance competitions. As Cultural in charge,

draft a notice inviting names of the participants from classes XI-Xii.

Q 2 You are the Medical Suprintendent of Jeevan Jyoti Hospital, Okhala, New Delhi. Give a suitable

advertisement for two staff nurses in the ‘Situation Vacant’ columns of The Times Of India, New Delhi.

Q3 An experienced Production Manager conversant with latest techniques in cement production

seeks placement in a reputed company. Write an advertisement for publication in the ‘Situation

Wanted’ column of a national daily.

Q 4 You are running a real estate in South Delhi. Write an advertisement for Saturday ‘Prime Estate’

column of ‘The Times Of India’, New Delhi, giving details of flats/ bungalows available for rent.

Q 5 You are B.C. Rajan of 65, Mayur Vihar-I, Delhi. You want to set up a small furniture factory cum

sales room in Gurgaon. Draft an advertisement seeking a suitable building on rent. Your

advertisement is to be published in the ‘ Accommodation Wanted’ columns of a leading news paper.

Q 6 After passing the secondary school examination, a candidate has to make a very difficult choice

from a number of streams available to him for further study at the senior school level. There is no

valid mechanism to assess the suitability of a candidate for a particular stream. Write a letter to the

Editor of a national daily emphasizing the need of a educational counselors for guidance in this matter

in each school. You are Vinita / Vinay of 48, Agra Fort , Agra.

Q 7 India Assurance Company, New Delhi, has given an advertisement in ‘ The Hindustan Times’ for

recruitment of Management Trainees to be groomed as managers of their company. Apply for the

same, giving your detailed biodata. Invent all necessary details. You are Aman / Aditi, 54-A, Gulab

Road, Lucknow.

NOTE: All the students are advised to revise all the topics covered (Chapters, Poems and Novel) from

BBC Literary Companion for July Unit Test.

Physics

1. Arrange four types of basic forces in the order of increasing strength.

2. Does magnitude of a quantity changes with change in the system of units?

3. Can there be a physical quantity which has no units & no dimensions?

BCM SCHOOL A Senior Secondary School , Affiliated to CBSE, New Delhi

SEC 32- A CHANDIGARH ROAD, LUDHIANA Web Site:- www.bcmschools.org

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4. Name a scalar and vector quantity which have same dimensions.

5. If ‘slap’ times speed equals power, what is the dimensional formula for ‘slap’?

6. What are the basic laws of physics ?

7. 1 Astronomical unit = ____________metre.

8. How many times a kg is larger than a mg?

9. 1 parsec = ___________m.

10. Calculate the dimension of a quantity whose unit is kg/m.

11. Find the number of significant figures in (i) .005 (ii)2.64 x 1024

(iii) .3270 (iv) 6.320 Nm-2

12. Fill in the blanks with suitable conversion of

units:-(i)1 kgm2

s-2

= __________gcm2

s-2

(ii)1 m = ___________ light year.

(iii) 3ms-2

= _________kmh-2

.

(iv) G = 6.67 x 10 -11

N m2

kg-2

= _____________gcm2

s-2

.

13. The mass of a body is measured by two persons is 10.2 kg and 10.23 kg. Which one is more accurate and why?

14. Give two examples of dimensional constants and dimensional variables.

15. Pressure is defined as momentum /volume. Is it true? Justify your answer by dimensional analysis.

16. Give three examples of dimensionless variables.

17. What is the law of conservation of energy ?

18. Explain absolute mean error ?

19. Explain accuracy and precision ?

20. Write down the dimensional formula of planck’s constant, force, work and surface tension.

21. Define mass and give its S.I unit.

22. What are the seven fundamental units of measurement?

23. What are the indirect method for measurement of length ?

24. Define (i) second (ii) Kelvin

25. State the advantages of S.I unit

26. Write down the characteristics of unit.

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27. What are the methods to measure time interval ?

28. Calculate the dimension of moment of force.

29. What are the uses of dimensional equations?

30. Convert one Newton into Dyne using dimensional formula.

31. If the value of in S.I unit is 5.67 x 10-8

J s-1

m-2

K-4

. Find its value in cgs where is the stefan’s constant.

32. The sun’s angular diameter is measured to be 1920’’. The distance of the sun from the earth is

1.496 x 10 11

m. What is the diameter of sun ?

33. If an atom of size 10-10

m were enlarged to the size of the earth(≈107

m) how large would its nucleus be ? Take size of nucleus =

10-14

m.

34. In Vander waal’s equation (P + a/V2

) (V- b) = RT, where the symbol P is pressure, V is volume,

R is universal gas constant and T is temperature. What are the dimensions of constants a and b?

35. Convert a power of one mega watt on a system whose fundamental units are 10 kg, 1 dm and 1 minute.

36. The rate of flow (V) of a liquid through a pipe of radius under a pressure gradient (P/l) is given by V =

P r4

/8 l where is coeffiecient of viscosity of the liquid. Check if the relation is correct dimensionally.

37. Consider a simple pendulum having a bob attached to a string that oscillate under the action of a force

of gravity. Suppose that the period of oscillation of the simple pendulum depends on its length(l), mass

of the bob(m) and acceleration due to gravity(g). Derive the expression for its time period using method

of dimension.

38. Experiments shows that the frequency (n) of a tuning fork depends on length (l) of a prong, density(d)

and the Young’s modulus (Y) of its material. On the basis of dimensional analysis, calculate the formula

for frequency.

39. The velocity (v) of transverse waves on a string may depend on length(I) of string, tension T in the string and mass per unit length (m) of the string. Derive the formula dimensionally.

40. The diameter of a wire as measured by a screw gauge was found to be 1.328,1.330,1.325,1.326,1.334 and

1.336 cm. Calculate (i) mean value of diameter(ii) absolute error in each measurement (iii) mean absolute

error (iv) fractional error (v) percentage error. Also express the result in terms of absolute error and

percentage error.

41. A body travels uniformly a distance of (13.8 + 0.2)m in a time (4.0 + 0.3) s. Calculate its velocity with error limit . What is the percentage error in velocity ?

42. A physical quantity x is calculated from the relation x = a2

b3

/c . If percentage error in a,b,c and d are 2%,

1%, 3%and 4% respectively. What is the percentage error in x ?

43. The radius of a sphere is measured to be (2.1 + 0.5)cm. Calculate its surface area with error limits.

44. The radius of sphere is measured with an error of 2%. What would be the error in volume of the sphere?

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45. The period of oscillation of a simple pendulum is T=2π (l/g)1/2

. Measured value of l is 20.0 cm known to

1mm accuracy & time for 100 oscillations of the pendulum is found to be 90 sec. Using a wrist watch of 1 sec resolution. What is the accuracy in the determination of g?

46. Each side of a cube is measured to be 7.203 cm. What are the total surface area & the volume of the wire to appropriate significant figures.

47. 5.74g of a substances occupies 1.2 cm3

.Express its density by keeping significant figures in view.

48. Calculate the percentage error in specific resistance ρ=πr2

R/l, where r=radius of wire=(0.26+0.02)cm,

l=length of wire=(156.0 + 0.1)cm and R=(64 + 2)Ω.

49. A potential difference of V=(20+ 1) volt is applied across a resistance of (8+ 2) ohm. Calculate the current with error limit.

50. A train 500 m long crosses a bridge of 1000 m in 10 s. Find the average speed of the train when it just

crosses the bridge.

51. The position x of a particle varies with t as x = a t2 – b t3. Calculate the acceleration after 2 seconds.

52. A car accelerates from rest at constant rate α for some time and after which decelerates at a constant

rate β to come to rest. If the time elapsed is t seconds, calculate

i) The maximum velocity reached and

ii) The total distance travelled.

53. A body covers 200 cm in first 2 seconds and 220 cm in next 4 seconds. What is the velocity of the body

at the end of seventh second?

54. A ball is thrown vertically upward from the ground with a speed of 24.5 m/s. After what time intervals,

the ball will be at a height of 29.4 m from the ground?

55. The displacement x of the particle moving in one dimension under the action of constant force is

related to time t by the relation t = 𝑥 + 3 where x is in meter and t is in seconds.

Find the displacement of the particle when its velocity is zero.

56. A particle having initial velocity 10 m/s moves with constant acceleration 5 m/s2 for time 10 second.

Find the displacement of the particle in the last 1 second.

57. A particle located at x = 0 at t =0 starts moving along the positive x- direction with velocity v that varies

as v = α 𝑥 . How the displacement of the particle vary with time?

58. A balloon rising vertically up with uniform velocity 15 m/s releases a ball at a height of 100 m. Calculate

the time taken by the ball to hit the ground. Take g = 10 m/s2.

59. A body moving with uniform acceleration describes 20 m in 2nd second and 30 m in 4th second of its

motion. Calculate the distance moved by it in 6th second.

60. Can a body have acceleration, without velocity?

61. A car accelerates from rest at constant rate of 2 m/s2 for some time. Then retards at constant rate of 4

m/s2 and comes to rest. Calculate the maximum speed attained by the car if it remains in motion for 3 seconds.

62. A stone falls from a tower and travels 100 m in the last second before it reaches the ground. Find the

height of tower.

63. The head and tail of 200 m train moving with a constant acceleration, crosses an electric pole on the

track side with velocities u and v respectively. Show that velocity with which middle point of the train crosses

the electric pole is 𝑢2+𝑣2

2 .

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64. A parachutist drops freely from an aero plane for 10 seconds before the parachute open out. Then he

descends with a net retardation of 2 m/s2. His velocity, when he reaches the ground is 8 m/s. find the height at

which he gets out of the plane.

65. A bus is moving with a velocity 10 m/s. A motorcyclist wishes to overtake the bus in 60 sec. With what

velocity the motor cyclist should chase the bus which is 1 km ahead of him?

66. A thief is running in a jeep with a speed of 10m/s. A police van chases him with a speed of 12 m/s. If the

instantaneous separation of the jeep from the police van is 80 m, how long will it take for the police to catch

the thief?

BIOLOGY

1. How is classical taxonomy different from modem taxonomy ? 2. Give two examples of organisms that reproduce by fragmentation. 3. What is the technical term given to the family of cats. 4. Mention any four different ways in which specimens are kept in a museum. 5. Differentiate between botanical garden and museum. 6. Howis a monograph different from a flora ? 7. Name the family and order to which each of the following belongs :

(i) Mango (ii) Housefly (iii) Wheat 8. Enumerate the steps involved in the classification of an organism. 9. What is the cell wall of Monerans made of ? 10. Name the most common method of reproduction in bacteria. 11. Name any two methods by which genetic recombination is affected in bacteria. 12. Name the part of filament/trichome of cyanobacteria where nitrogen fixation takes place. 13. Name the ckaracteristic blue-green pigment of cyanobacteria. 14. Name the phylum of Protista, that includes decomposer - consumer protists. 15. Mention one feature each, in which Myxomycota (slime moulds) resemble (i) plants and (ii)

animals respectively. 16. How are archaebacteria able to live in extreme environmental conditions ? Mention two such

conditions in which they live. 17. Differentiate between oxygenic and anoxygenic photosynthesis. 18. How are mycoplasma different from other prokaryotes ? Name two diseases they cause in

animals. 19. Differentiate between zoospores and aplanospores of fungi. 20. Name the fungus called as 'Drosophila' of this kingdom. Why ? 21. Mention the criteria used for classifying Kingdom Fungi into classes. 22. Name two members of Deuteromycetes and mention the disease they cause in plants. 23. What do the terms phycobiont and mycobiont signify ? Mention any four symptoms of viral

diseases in plants. 24. How are viroids different from viruses ? 25. What is meant by isogamy ? Give an example of an alga that shows isogamy. 26. Name two algae from which agar is obtained. Name the class to which they belong. 27. What are phycocolloids ? What advantage do algae get from them ? 28. Mention four characters in which red algae resemble cyanobacteria. 29. What are gemmae ? Name two plants that produce gemmae. 30. Mention two economic importance of Sphagnum. 31. What are tracheophytes ? Name two groups of plants belonging to this type. 32. Bring out the differences between homosporous and heterosporous pteridophytes. What are

coralloid roots ? Name the plant that has it. 33. Bring out four differences between the gametophyte of gymnosperms and that of bryophytes

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34. Define phyllotaxy. Differentiate between alternate phyllotaxy and opposite phyllotaxy 35. How is a stolon different from a sucker in plants ? Give an example of each. 36. Why is the leaf of Bombax categorised as palmately compound leaf and multifoliate leaf ? 37. How is a phylloclade different from a cladode ? [ 38. What are the stilt roots ? Give two examples. 39. Name two plants with stem thorn. What is the advantage of thorn to the plants ? 40. Differentiate between racemose and cymose inflorescence. 41. How is valvate aestivation different from twisted aestivation ? 42. Differentiate between apocarpous and syncarpous ovary. 43. When are stamens described as epipetalous ? Give an example. 44. Differentiate between the androecium of Fabaceae and Solanaceae 45. Name the plant and its family, from which colchicine is obtained. 46. Differentiate between axile placentation and free-central placentation. Give an example of each. 47. Draw an L.S of a mango fruit. What is it technically called as ? What common between the fruits of

mango and coconut ? Describe. 48. Draw the floral diagram of Fabaceae and write the floral formula. Mention the important aspects

in which it differs from a typical dicot flower. 49. Draw the floral diagram of Solanaceae and write its floral formula. How are the whorls of calyx

and corolla of this different from those of Fabaceae ? 50. Draw the floral diagram of Liliaceae and write its floral formula. Write two major differences

between the flowers of this family and those of Solanaiftae.

Chemistry 1. How could Bohr’s theory of atomic structure account for the hydrogen spectrum?

2. How many nodal planes does a 5s and 3dz2 electron charge cloud have?

3. State Hund’s rule and uncertainty principle.

4. Write the electronic configuration of the following : Cu2+ Cr3+

5. What are the possible values of m l for an electron with l=3

6. Which shell would be the first to have g subshell?

7. Why are half filled and fully filled orbital more stable?

8. What do you mean by noble gas core and pseudo noble gas core?

9. Calculate the uncertainty in velocity of an electron if uncertainty in its position is 10 -11 m

10. Show that the circumference of Bohr orbit for hydrogen atom is an integral multiple of de

Broglie wavelength associated with an electron.

11. Why 3d orbital is of higher energy than 4s?

12. How many lines obtained in Lymen series if electron jump to n= 6 state

13. How is atmosphere related to kilopascal?

14. What is the difference between 5g and 5.00 g ?

15. Differentiate between orbit and orbital.

16. State Gay Lussac’s law of gaseous volume with an example.

17. Define Avogadro law. How can we determine atomicity of nitrogen gas molecules by using this

law?

18. . Ultra-violet photon of 300 nm is absorbed by a gas and then re-emitted as two photon one

photon is red having wavelength 760 nm what would be the wavelength of second photon?

19. When a light of wavelength 417nm fall on the surface of potassium metal , electron are

emitted with a velocity of 6.4 x 10 4 m/ s2 what is the minimum energy required per mole to

remove an electron from potassium metal

20. A sample of sodium nitrate weighing 0.83 is placed in 50 ml volumetric flask the flask is then

filled with water up to the mark on the neck. What is the molarity of the solution?

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21. What would be the no. of atom in 5.6 ltr of a monoatomic gas at STP?

22. How many atom of each type is present in 0.6 mol of calcium carbonate?

23. A hydrated calcium phosphate contains 7.14 % water of crystallization the molecular mass of

phosphate is 252. The percentage composition is 15.18 % Ca, 24.6% P, 4% H and 57.11 %

Oxygen what s the molecular formula of the compound?

24. 5g potassium sulphate is dissolved in 250 ml solution. What volume of this solution will be

sufficient to precipitate 1.2 g barium sulphate from barium chloride solution (Ba=137)

25. 1.42 g of a mixture of calcium carbonate and magnesium carbonate was heated to a constant

weight. The constant weight of the residue was found to be 0.76 g find out the % of

magnesium carbonate in the mixture.

26. Sample of potassium chloride which contains some sodium chloride is dissolved in water. 20

ml of this solution on evaporation gives 1.73g dry mixture. On treatment with silver nitrate it

gave 3.73 g silver chloride. calculate mass of sodium chloride present in 10 ml of above

solution

27. A mixture of cuprous oxide and cupric oxide on analysis was found to contain 88% copper.

Calculate the % amount of cuprous oxide and cupric oxide in the given mixture.

28. Calculate the molarity of the resulting solution if 30 ml of 0.5 M Sulphuric acid is diluted to 500

ml

29. The solubility of Ba(OH)2.8H2O in water at 298K is 5.6g per 10 g of water . What is the molality

of hydroxide ion in saturated solution of Barium hydroxide at 298K

30. Mole fraction of glucose is 0.85 in aqueous glucose solution. Find out its molality.

Mathematics

Chapter – Trigonometry

1.If cos (𝛼 − 𝛽) + cos (𝛽 − 𝛾) + cos (𝛾 − 𝛼) = −3

2 , prove that cos𝛼 + 𝑐𝑜𝑠𝛽 + 𝑐𝑜𝑠𝛾 = sin𝛼 + 𝑠𝑖𝑛𝛽 + 𝑠𝑖𝑛𝛾 =

0

2. if tan𝛽 = 𝑛 𝑠𝑖𝑛𝛼𝑐𝑜𝑠𝛼

1−𝑛 𝑠𝑖𝑛 2𝛼 , Show that : tan(𝛼 − 𝛽) = (1 − 𝑛)𝑡𝑎𝑛𝛼.

3. If A +B = 𝜋

4 , Prove that (i) (1+ tanA ) (1+tanB) = 2 (ii) (cot A -1) (cot B -1) = 2 .

4. If tan(𝛼 + 𝜃) = 𝑛𝑡𝑎𝑛 (𝛼 − 𝜃) , show that : ( n+1)sin2𝜃 = (n-1) sin2𝛼.

5. If tan (𝜋𝑐𝑜𝑠𝜃) = cot(𝜋𝑠𝑖𝑛𝜃 ,𝑝𝑟𝑜𝑣𝑒𝑡ℎ𝑎𝑡 ∶ cos 𝜃 −𝜋

4 = ±

1

2 2 .

6. If sin𝛼 + sin𝛽 = 𝑎 𝑎𝑛𝑑 cos𝛼 + cos𝛽 = 𝑏 𝑠ℎ𝑜𝑤 𝑡ℎ𝑎𝑡 (i) cos(𝛼 + 𝛽 = 𝑏2 −𝑎2

𝑏2+𝑎2 (ii) sin(𝛼 +

𝛽 = 2𝑎𝑏

𝑎2+𝑏2 .

7. If 𝛼 𝑎𝑛𝑑 𝛽 are the solutions of acos𝜃 + sin𝜃 = 𝑐 then(i ) cos(𝛼 + 𝛽 = 𝑎2 −𝑏2

𝑏2+𝑎2 (ii) cos(𝛼 − 𝛽 =

2𝑐2−(𝑎2+𝑏2)

𝑎2+𝑏2 .

8. Prove that : tan8A –tan6A –tan2A = tan8A tan6Atan2A .

9. If tanx + tan ( x +𝜋

4 ) + tan ( x +

2𝜋

4 ) = 3 then prove that

3 𝑡𝑎𝑛𝑥 −𝑡𝑎𝑛 3𝑥

1−3𝑡𝑎𝑛 2𝑥 = 1

10. If sin (𝛼 + 𝛽) = 1 𝑎𝑛𝑑 sin (𝛼 − 𝛽) = 1

2 where 0≤ 𝛼 ,𝛽 ≤

𝜋

2 then find the value of

tan(𝛼 + 2𝛽) 𝑎𝑛𝑑 tan(2𝛼 + 𝛽 .

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11. Prove that : sin200 𝑠𝑖𝑛400𝑠𝑖𝑛600𝑠𝑖𝑛800 = 3

16

12. Prove that :cos 100 cos 300 cos 500 cos 700 = 3

16

13. ifsin (𝜃+𝛼 )

cos (𝜃−𝛼) =

1−𝑚

1+𝑚 Prove that ; tan

𝜋

4− 𝜃 tan

𝜋

4− 𝛼 = 𝑚

14. if cos A + cos B = 1

2 and sin A + sinB =

1

4 ;Prove that tan(

𝐴+𝐵

2) =

1

2 .

15. show that : 2 + 2 + 2 + 2 cos 8𝜃 = 2 cos𝜃

16. Prove that :cosA cos2A cos 22𝐴 𝑐𝑜𝑠23𝐴 − − −−− 𝑐𝑜𝑠2𝑛−1𝐴 = 𝑠𝑖𝑛2𝑛𝐴

2𝑛 𝑠𝑖𝑛𝐴 .

17. If tan𝛽 = 𝑡𝑎𝑛𝛼 +𝑡𝑎𝑛𝛾

1+𝑡𝑎𝑛𝛼𝑡𝑎𝑛 𝛾 , prove that sin2𝛽 =

𝑠𝑖𝑛2𝛼+𝑠𝑖𝑛2𝛾

1+𝑠𝑖𝑛2𝛼𝑠𝑖𝑛 2𝛾 .

18.Prove that : cot 𝜋

24 = 2 + 3 + 4 + 6 .

19. Prove that : tan A + tan (600+A) –tan(600 –A) = 3 tan3A .

20. Prove that sin 180 = 5 −1

4 .

21. Prove that :𝑠𝑖𝑛3𝐴 + 𝑠𝑖𝑛3 2𝜋

3+ 𝐴 + 𝑠𝑖𝑛3

4𝜋

3+ 𝐴 = −

3

4 𝑠𝑖𝑛3𝐴 .

22. Prove that :cos 7𝑥−cos 8𝑥

1+2 𝑐𝑜𝑠𝑥 = cos2x –cos3x .

23. if tan𝜃

2 =

1−𝑒

1+𝑒 tan

𝛼

2 , Prove that cos𝛼 =

cos 𝜃 −𝑒

1−𝑒𝑐𝑜𝑠𝜃 .

24. Determine the smallest positive value of x (in degree) for which : tan(x+1000) = tan (x+500) tan x tan (x-500)

.

25. Show that: 2(𝑠𝑖𝑛6𝑥 + 𝑐𝑜𝑠6𝑥 ) − 3 (𝑠𝑖𝑛4𝑥 + 𝑐𝑜𝑠4𝑥 + 1 = 0

26. Prove that: cot 221

2 = 2 + 1.

27. Prove that 1 + cos2x + cos4x + cos6x = 4 cos x cos2x cos3x.

28. If A + B =900 , find the maximum value of sin Asin B.

29. Find the maximum and minimum value of : 4 sinx -3 cosx +7.

30. Prove that ; tan 700 = tan 200 +2 tan500.

Do the chapters -Trigonometric ratios of compound angles, Transformation formulae, Trigonometric ratios of

multiple and submultiple angles From Book : R.D.Sharma.

Physical Education 1) Describe the skill of any one individual game of your choice from the given list: Archery, Badminton, Gymnastics, Judo, Swimming, Table Tennis, Taekwondo, Bocce and Tennis. 2) Labelled diagram of Field and Equipment and terminologies used of any one game from the above list. 3) Labelled diagram of 400 mts Track and Field with computations. 4) Computation of BMI from family or neighbourhood and graphical representation of data. 5) Explanation and list of current national awardees(Dronacharya award, Arjuna award and Rajiv Gandhi Khel ratna award).

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COMMERCE STREAM Note: The Assignment should be done in Class Work notebook & Submit on 14th July 2017.

ENGLISH

Q 1 Your school is organizing a two day Integration Camp at Sawan Public School, Mehrauli involving

special children. There will be art work ,music, song and dance competitions. As Cultural in charge,

draft a notice inviting names of the participants from classes XI-Xii.

Q 2 You are the Medical Suprintendent of Jeevan Jyoti Hospital, Okhala, New Delhi. Give a suitable

advertisement for two staff nurses in the ‘Situation Vacant’ columns of The Times Of India, New Delhi.

Q3 An experienced Production Manager conversant with latest techniques in cement production

seeks placement in a reputed company. Write an advertisement for publication in the ‘Situation

Wanted’ column of a national daily.

Q 4 You are running a real estate in South Delhi. Write an advertisement for Saturday ‘Prime Estate’

column of ‘The Times Of India’, New Delhi, giving details of flats/ bungalows available for rent.

Q 5 You are B.C. Rajan of 65, Mayur Vihar-I, Delhi. You want to set up a small furniture factory cum

sales room in Gurgaon. Draft an advertisement seeking a suitable building on rent. Your

advertisement is to be published in the ‘ Accommodation Wanted’ columns of a leading news paper.

Q 6 After passing the secondary school examination, a candidate has to make a very difficult choice

from a number of streams available to him for further study at the senior school level. There is no

valid mechanism to assess the suitability of a candidate for a particular stream. Write a letter to the

Editor of a national daily emphasizing the need of a educational counselors for guidance in this matter

in each school. You are Vinita / Vinay of 48, Agra Fort , Agra.

Q 7 India Assurance Company, New Delhi, has given an advertisement in ‘ The Hindustan Times’ for

recruitment of Management Trainees to be groomed as managers of their company. Apply for the

same, giving your detailed biodata. Invent all necessary details. You are Aman / Aditi, 54-A, Gulab

Road, Lucknow.

NOTE: All the students are advised to revise all the topics covered (Chapters, Poems and Novel) from

BBC Literary Companion for July Unit Test.

Business Studies Q.1. What do you mean by Code of Conduct? Q.2. Name the occupation in which people work for others and get remunerated in return. Q.3. Name the industries which provide support services to other businesses. Q.4. ‘Giving priority to service instead of economic self-interest’ is the characteristic of which economic activity? Q.5. Machinery, plant and tools are placed under which category of goods? Q.6. Bread, clothes and medicines are placed under which category of goods? Q.7. Which hindrance of business is removed by the advertising industry? Q.8. Which hindrance of business is removed by banks and financial institutions?

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Q.9. Under which manufacturing industry, the manufacturing of cement, limestone and coal can be placed? Q.10. Write two points of difference between industry and commerce. Q.11. Which type of utility is created by industry? Q.12. What is Entreport? Q.13. Why does a businessman is ready to take risks? Q.14. To which auxiliary to Trade is related the following statement? Raw material has to be purchased from far off places. Q.15. Parveen and Ajay are two friends. Both of them are doing different businesses. Praveen’s

business is facing change in fashion and change in prices and he is also very upset because of tough competition. On the other hand, there is a great hurdle is there in Ajay’s business because of the dishonesty of employees, strikes and lockouts etc.

Point out the type of business risk the two friends are suffering from. Q.16. Differentiate the following activities into Economic and Non-Economic Activities: (i) A property dealer is purchasing a house for himself. (ii) A doctor is giving his son a medical treatment. (iii) A person is selling tea on a railway station. (iv) A property dealer is buying a house for someone on commission basis Q.17. Name the document that contains all the terms and conditions of running the partnership. Q.18. If the scale of production has to be large, which business organisation is suitable? Q.19. If registration is optional, why do partnership firms willingly go through this legal formality and

getthemselves registered? Explain. Q.20. “One man control is the best in the world if that man is big enough to manage the whole show.” Comment. Q.21. Why the public is more confident about company organization. Q.22. Explain the term Minimum Subscription. Q.23. “From the point of view of management, sole trade organisation is the worst form of trade organisation. Do you agree with this statement? If yes, then support your view by reasons. Q.24. Which form of the business organisation gives all the rights to a minor member? Q.25. Clarify the role of capital in selecting a form of business organisation.

Accountancy

Pass Journal entries for the following

1. Rajesh started business with cash Rs 1000000, goods Rs 50000 & furniture Rs 150000.

2. Purchased goods for cash for Rs 35000.

3. Purchased goods from Sudhir Rs 10,000.

4. Purchased goods from Mr. Udit for cash Rs 6,000.

5. Sold goods for cash Rs 1,500.

6. Sold goods for cash to Anubhav Rs 2,000.

7. Sold goods to Kumar Rs 2,500.

8. Paid cash to Sudhir Rs 6,000

9. Received cash from Kumar Rs 2,500.

10. Bought Building for cash Rs 20,000. 11. Paid for rent, Wages for Rs 1000 & Rs 4000 respectively.

12. Paid salary to Rohan Rs 1,200.

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13. Received commission from Jaswinder Rs 500. 14. Sold goods to Bharat Rs 8,000.

15. Returned defective goods by Bharat of Rs 2,000.

16. Received cash from Bharat of Rs 2,000.

17. Paid Insurance premium Rs 400.

18. Paid for Life Insurance premium of the owner of the business Mr. Ajay Rs 1,000.

19. Lent to Mohan Rs 4,000.

20. Sold goods of Mayank of the list price of Rs 30,000 at a trade discount of 5%.

21. Mayank returned goods of the list price of Rs 5,000.

22. Received from Mayank Rs 23,000 in full settlement of his account.

23. Purchased goods from Rakesh of the list price of Rs 8,000 at 20% trade discount.

24. Returned goods to Rakesh of the list price of Rs 2,000.

25. Settled the account of Rakesh by cash under a discount of 5%.

26. Bought a Typewriter for Rs 1,200 for the domestic use of the owner Mr. Anil.

27. Bought goods from Anand for Rs 40,000 at a trade discount of 20% and cash discount of 4%. Paid 50 %

cash immediately.

28. Sold goods to Divya for Rs 10,000

29. Received Rs 9,800 from Divya in full settlement of her account.

30. Cash deposited in the bank Rs 6,000.

31. Received a cheque from Mr Z Rs 2,500.

32. Cheque received from Z deposited into Bank after 2 days.

33. Sold goods to Sonal Rs 6,500.

34. Cheque received from Sonal for Rs 6,450 in full settlement of her account. This cheque was

immediately deposited in the bank.

35. Cheque received from Sonal dishonoured.

36. Old newspaper sold Rs 100 and old furniture sold for Rs 1,700.

37. Z become insolvent and 50 paisa in a rupee could be received his estate.

38. Goods purchased from Rita and paid by cheque Rs 7,200.

39. Paid rent by cheque Rs 300.

40. Paid rent by cheque Rs 300.

41. Rs 4,500 withdraw from bank for office use.

42. Salaries due Rs 20,000.

43. Rent is prepaid Rs 200

44. Received Rs 2,400 from Sunil which were written off as bad debts in the previous year.

45. Provide 20% depreciation on building costing Rs 1,00,000 for 3 months.

46. Provide 5% interest on capital Rs 20,000 for 3 months.

47. Charge interest on drawing Rs 350.

48. Bought goods from Kamal for cash Rs 2,200 and paid Rs 50 for carriage.

49. Purchased a machinery for cash Rs 40,000 and paid Rs 4,000 as wages on its installation. Goods of Rs

3,000 were also used from business on its installation.

50. Paid Rs 1,800 for repairing office furniture.

51. A shed was constructed for office building costing Rs 40,000 and payment was made by cheque.

52. Employed Nisha as a cashier and received Rs 18,000 for her security deposits. 53. Paid office expenses Rs 1000 for personal cash and stationery expenses Rs 2000 from office cash.

54. Purchased goods for Rs 50,000 from Manish and supplied it to John for Rs 60,000. Out of this John

returned goods of Rs. 15,000 which in turn were returned to Manish.

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55. Sold goods to Amit of list price Rs 5,000, trade discount 20% and cash discount @ 5%. He paid the

amount and availed cash discount.

56. Supplied goods costing Rs 2,000 to Mr. Yashik. Issued invoice at 10% above cost less 2% trade discount.

Payment received in full in cash.

57. Owner withdrew goods of Rs 700.

58. Goods given as charity Rs 2,200.

59. Goods distributed as free samples Rs 1,800.

60. Goods lost by fire and theft are Rs 5000 and Rs 1,0000 respectively.

61. Goods sold for cash for Rs 7,000 and collected 5% sales tax on it.

62. Purchased a Horse for business for Rs 20,000.

63. Gave as charity cash Rs 150, machinery Rs 2,000 and goods Rs 250.

64. Opened bank account with SBI Rs 10,000.

65. Borrowed from bank Rs 7,500.

66. Paid railway fright on behalf of our customer Mr. Nitin Rs 800. Received an order of goods for Rs

1,00,00 from Sonu.

67. Sonu’s order was executed and cartage Rs 5,000 was paid in this regard.

68. Paid Rs 250 for subscribing for newspapers through cheque.

69. Paid Rs 250 subscribing for newspaper.

70. Received Rs 700 for sale of old chairs and tables.

71. Paid interest on loan Rs 300.

72. Goods stolen- cost price Rs 2,000, sale price Rs 3,000.

73. Paid income tax Rs 1,000 and sales tax Rs 4,000.

74. Rs 500 due from Amrit are bad debts.

75. Paid cash to X on Behalf of Z Rs 3,000.

76. Sold goods of Rs 2,000 for Rs 2,400.

77. On 1st Jan 2002, the following balances appeared in books of AB Ltd.

Assets- cash Rs 10,000; bank Rs 20,000; stock Rs 40,000; furniture Rs 20,000

Liabilities- Bank loan Rs 10,000; Bank Rs 20,000; Stock Rs 40,000; furniture Rs 20,000.

78. Pass an opening Entry:

Assets—cash Rs 1,00,000; creditors Rs 10,000; Capital Rs 1,50,000.

Part 2

Answer Following:

1. What is difference between Book Keeping and Accountancy?

2. Explain the advantages and limitations of accounting.

3. What is accounting cycle?

4. Who are the external and internal users of accounting

5. What are the various types of accounting?

Part 3

Are the following journal entries correctly made? If not give correct entries and post them into

respective accounts.

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ECONOMICS

1. What is “loss of information”?

2. There are two investigators who conduct surveys and analyze the data. One of them organizes

data and the other one use the raw data. Both of them are excellent in their work. Which one

out of two methods gives more efficiency?

3. Convert the following cumulative series into an exclusive series.

Marks Less than 20 Less than 40 Less than 60 Less than 80 Less than 100

No. of Students 14 30 50 58 78

4. Prepare a frequency distribution series from below:

Mid Points 5 10 15 20 25 30

Frequency 40 60 20 10 30 40

5. How is arithmetic mean calculated in specific cases?

6. Mention the important properties of arithmetic mean with illustrations.

7. Calculate A.M. from the following data. Use step deviation method.

Wages Less than Less than Less than Less than Less than Less than Less than Less than

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10 20 30 40 50 60 70 80

No. of workers 5 20 45 70 80 88 98 100

8. Mean of the weekly pocket money of 40 students is Rs/- 265. But in calculation, one value was

read as 150 instead of 115.Find corrected mean.

9. Find the missing frequency

Marks 0 - 10 10 - 20 20 - 30 30 – 40 40 – 50

No. of Students 4 8 ? 6 2

10. The Mean height of 25 male workers in a factory is 61 cm and the mean height of 35 female

workers in the same factory is 58 cm. Find the combined mean height of 60 workers in this

factory.

11. Calculate simple arithmetic mean & weighted mean:

Subjects Accounts English Math Economics Political Science

Marks 80 90 95 85 70

Weights 2 3 1 3 1

12. a) Calculate median from the following:

C.I below 10 below 20 below 30 below 40 below 50 below 60

C.F 20 30 40 60 90 100

13. Find Median:

C.I 11 - 15 16 - 20 21 - 25 26 - 30 31 - 35 36 - 40 41 - 45

F 6 11 12 27 35 22 11

14. Median marks are 23.Find the missing frequency if N= 100

Marks 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50

No. of Students 8 30 ? ? 10

15. Find median using both ogives.

C.I. 0 - 20 20 - 40 40 - 60 60 - 80 80 - 100

F 6 5 33 14 6

16. Find Quartile- Q1 & Q3

S.No. 1 2 3 4 5 6 7 8

Marks 400 430 460 500 580 600 650 720

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17. Find Quartile- Q1 & Q3

C.I. 20 - 25 25 - 30 30 - 35 35 - 40 40 - 45 45 - 50 50 - 55 55 - 60

F 80 40 100 180 150 120 70 60

18. Compute mode by using inspection method:

Wages 3000 4000 5000 6000 7000 8000

No. of Workers 3 5 10 19 8 4

19. Find mode by grouping method:

C.I. Less than

15 Less than

20 Less than

25 Less than

30 Less than

35 Less than

40 Less than

45

F 4 11 27 39 48 50 55

20. Find mode:

C.I. 0 – 3 3 - 6 6 - 10 10 – 12 12 - 15 15 - 18 18 - 20 20 - 24 24 - 25 25 - 28 28 - 30 30 -36

F 7 16 20 28 32 40 48 28 32 22 20 10

21. Calculate mode by using graphical method:

C.I. 0 – 10 10 - 20 20 - 30 30 -40 40 - 50 50 - 60

F 10 20 40 70 30 20

22. ‘ Arithmetic mean is effected by very large and very small values but median and mode are not

effected by them’. Explain.

23. Compare the arithmetic mean, meadian and mode as measures of central tendency. Describe

situations where one is more suitable than the other.

24. Name some notable Economists who estimated India’s per capita income during the colonial

period.

25. Underscore some of India’s most crucial economic challenges at the time of independence.

26. Were there any positive contribution made by the British in India? Discuss.

Physical Education 1) Describe the skill of any one individual game of your choice from the given list: Archery, Badminton, Gymnastics, Judo, Swimming, Table Tennis, Taekwondo, Bocce and Tennis. 2) Labelled diagram of Field and Equipment and terminologies used of any one game from the above list. 3) Labelled diagram of 400 mts Track and Field with computations. 4) Computation of BMI from family or neighbourhood and graphical representation of data. 5) Explanation and list of current national awardees(Dronacharya award, Arjuna award and Rajiv Gandhi Khel ratna award). Note : Download Mathematics HomeWork from Science Stream.

HUMANTIES STREAM

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Note: The Assignment should be done in Class Work notebook & Submit on 14th July 2017. ENGLISH

Q 1 Your school is organizing a two day Integration Camp at Sawan Public School, Mehrauli involving

special children. There will be art work ,music, song and dance competitions. As Cultural in charge,

draft a notice inviting names of the participants from classes XI-Xii.

Q 2 You are the Medical Suprintendent of Jeevan Jyoti Hospital, Okhala, New Delhi. Give a suitable

advertisement for two staff nurses in the ‘Situation Vacant’ columns of The Times Of India, New Delhi.

Q3 An experienced Production Manager conversant with latest techniques in cement production

seeks placement in a reputed company. Write an advertisement for publication in the ‘Situation

Wanted’ column of a national daily.

Q 4 You are running a real estate in South Delhi. Write an advertisement for Saturday ‘Prime Estate’

column of ‘The Times Of India’, New Delhi, giving details of flats/ bungalows available for rent.

Q 5 You are B.C. Rajan of 65, Mayur Vihar-I, Delhi. You want to set up a small furniture factory cum

sales room in Gurgaon. Draft an advertisement seeking a suitable building on rent. Your

advertisement is to be published in the ‘ Accommodation Wanted’ columns of a leading news paper.

Q 6 After passing the secondary school examination, a candidate has to make a very difficult choice

from a number of streams available to him for further study at the senior school level. There is no

valid mechanism to assess the suitability of a candidate for a particular stream. Write a letter to the

Editor of a national daily emphasizing the need of a educational counselors for guidance in this matter

in each school. You are Vinita / Vinay of 48, Agra Fort , Agra.

Q 7 India Assurance Company, New Delhi, has given an advertisement in ‘ The Hindustan Times’ for

recruitment of Management Trainees to be groomed as managers of their company. Apply for the

same, giving your detailed biodata. Invent all necessary details. You are Aman / Aditi, 54-A, Gulab

Road, Lucknow.

NOTE: All the students are advised to revise all the topics covered (Chapters, Poems and Novel) from

BBC Literary Companion for July Unit Test.

ECONOMICS

1. What is “loss of information”?

2. There are two investigators who conduct surveys and analyze the data. One of them organizes

data and the other one use the raw data. Both of them are excellent in their work. Which one

out of two methods gives more efficiency?

3. Convert the following cumulative series into an exclusive series.

Marks Less than 20 Less than 40 Less than 60 Less than 80 Less than 100

No. of Students 14 30 50 58 78

4. Prepare a frequency distribution series from below:

Mid 5 10 15 20 25 30

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Points

Frequency 40 60 20 10 30 40

5. How is arithmetic mean calculated in specific cases? 6. Mention the important properties of arithmetic mean with illustrations.

7. Calculate A.M. from the following data. Use step deviation method.

Wages Less than

10 Less than

20 Less than

30 Less than

40 Less than

50 Less than

60 Less than

70 Less than

80

No. of workers 5 20 45 70 80 88 98 100

8. Mean of the weekly pocket money of 40 students is Rs/- 265. But in calculation, one value was

read as 150 instead of 115.Find corrected mean.

9. Find the missing frequency

Marks 0 - 10 10 - 20 20 - 30 30 – 40 40 – 50

No. of Students 4 8 ? 6 2

10. The Mean height of 25 male workers in a factory is 61 cm and the mean height of 35 female

workers in the same factory is 58 cm. Find the combined mean height of 60 workers in this

factory.

11. Calculate simple arithmetic mean & weighted mean:

Subjects Accounts English Math Economics Political Science

Marks 80 90 95 85 70

Weights 2 3 1 3 1

12. a) Calculate median from the following:

C.I below 10 below 20 below 30 below 40 below 50 below 60

C.F 20 30 40 60 90 100

13. Find Median:

C.I 11 - 15 16 - 20 21 - 25 26 - 30 31 - 35 36 - 40 41 - 45

F 6 11 12 27 35 22 11

14. Median marks are 23.Find the missing frequency if N= 100

Marks 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50

No. of Students 8 30 ? ? 10

15. Find median using both ogives.

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C.I. 0 - 20 20 - 40 40 - 60 60 - 80 80 - 100

F 6 5 33 14 6

16. Find Quartile- Q1 & Q3

S.No. 1 2 3 4 5 6 7 8

Marks 400 430 460 500 580 600 650 720

17. Find Quartile- Q1 & Q3

C.I. 20 - 25 25 - 30 30 - 35 35 - 40 40 - 45 45 - 50 50 - 55 55 - 60

F 80 40 100 180 150 120 70 60

18. Compute mode by using inspection method:

Wages 3000 4000 5000 6000 7000 8000

No. of Workers 3 5 10 19 8 4

19. Find mode by grouping method:

C.I. Less than

15 Less than

20 Less than

25 Less than

30 Less than

35 Less than

40 Less than

45

F 4 11 27 39 48 50 55

20. Find mode:

C.I. 0 – 3 3 - 6 6 - 10 10 – 12 12 - 15 15 - 18 18 - 20 20 - 24 24 - 25 25 - 28 28 - 30 30 -36

F 7 16 20 28 32 40 48 28 32 22 20 10

21. Calculate mode by using graphical method:

C.I. 0 – 10 10 - 20 20 - 30 30 -40 40 - 50 50 - 60

F 10 20 40 70 30 20

22. ‘ Arithmetic mean is effected by very large and very small values but median and mode are not

effected by them’.Explain.

23. Compare the arithmetic mean, meadian and mode as measures of central tendency. Describe

situations where one is more suitable than the other.

24. Name some notable Economists who estimated India’s per capita income during the colonial

period.

25. Underscore some of India’s most crucial economic challenges at the time of independence.

26. Were there any positive contribution made by the British in India? Discuss.

Political Science 1. Discuss the relationship between political and economic equality.

2. What do you mean by politics?

3. The government as a part of politics can affect on daily life of humans both in a useful and

harmful way. How?

4. How can we show our interest in government?

5. “Social inequalities can be minimized by an affirmative action” Analyse the statement.

6. How has India ensured social justice?

7. Suggest some major suggestions for electoral reforms.

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8. What is election manifesto? Explain.

9. How does India ensured the secret ballot?

10. Mention some fundamental duties of Indian Citizens.

11. “India is a secular state” Justify the statement.

12. What is the nature of India as per the preamble of the Indian constitution.

13. India is a sovereign, Democratic ,Republic” Justify the statement.

14. What do you mean by ‘democratic’with special reference to India?

15. Why should we respect our constitution?

Physical Education 1) Describe the skill of any one individual game of your choice from the given list:

Archery, Badminton, Gymnastics, Judo, Swimming, Table Tennis, Taekwondo, Bocce and Tennis.

2) Labelled diagram of Field and Equipment and terminologies used of any one game from the above list. 3) Labelled diagram of 400 mts Track and Field with computations. 4) Computation of BMI from family or neighbourhood and graphical representation of data. 5) Explanation and list of current national awardees(Dronacharya award, Arjuna award and Rajiv Gandhi

Khel ratna award).

Note : Download Mathematics HomeWork from Science Stream.