12 - sanskaar valley school · slide preparation : 1. ... whole mount of entamoeba histolytica...

Head of the Department / Subject Coordinator Head of Shikhar

HOLIDAY HOMEWORK : Class 12Summer Vacation, 2017

SUBJECT : ACCOUNTS

Time to beSpent (One Hourper day for 20Days) :

1 Hour for 20 days.

WorkSpecification : Project Work – First project.

Materials /ResourcesRequired :

A-4 Size plain white paper, pencil, black-ink pen, scale, stick-file, internet, and accounts book.

Instructions /Guidelines :

Follow I.S.C. – Guidelines from Scope of Syllabus – 2018 pagenumber : 110

Please Note:1) Use A – 4 size Plain white paper.2) Draw Outer Margin (4 sides Boarder) before writing.3) Write your name, class, section, topic and subject on the first cover page.4) Use Stick-file for submitting the project-work. (Don’t do spiral binding now.)5) Use only Black-ink.6) Coloured pens, sketch pens, glitter pens etc. are not allowed.7) Decoration or fancy-work is not required.8) Explain Journal, Ledger, Trial Balance, Trading Account, Profit and Loss Account, Profit and

Loss Appropriation Account, Closing Entries and Balance Sheet with their respectiveFormats (Before starting the project work).

9) The project work must be done in following sequence:I. Case Study.

II. Partnership Deed.III. All Transactions with dates. (Include the items of page 110 in scope of syllabus)IV. Journal Entries, Ledger postings, Trial Balance, Trading A/c, P/L A/c, P/L

Appropriation A/c and Balance Sheet.V. Accounting Ratio.

VI. Conclusion.



SUBJECT : ART

Time to be Spent(___Hours per day for ___ Days) : ONE HOUR FOR 20 DAYS

WorkSpecification :

Still life Composition Nature

MaterialsRequired : Paint , Brush, and Paper

Instructions /Guidelines : Make three paintings on each specification.

Any Other Information:

Date of submission: 20/6/17



SUBJECT : BIOLOGY

Time to be Spent (___ Hoursper day for ___ Days) : 2 Hours per day for 10 Days

WorkSpecification : Project Work and Practical File

MaterialsRequired :

One file for Project and another Practical File, provided by theSchool, Practical Book, Text Book, Writing & DrawingMaterials,Internet & Library support, Covering Material, ReferenceBooks,Newsprints, Photographs and Graphs where applicable.


PROJECT :Select one Project of your choice, in consultation with your teacher, onany aspect of Biology.If required, make trips to collect data or material.Organize your writing material.Write in your own handwriting in the file; computer print-outs are notallowed.Sub-headings : Title, Acknowledgement, Content, Observation (ifapplicable) Conclusion, BibliographyAdd pictures, photographs, press-release, wherever necessary.Cover the File.Write the project title, your name, your Unique ID number and IndexNumber, name of the School & year.Excessive decoration is not required.

PRACTICAL FILE :Draw, label and write about the following in the practical file.

Flowers :


Hibiscus, Petunia, Sweet pea and Onion. (If not complete or need to

rectify)

Slide Preparation :1. T.S. of ovary to show marginal and axile placentation (Pea andHibiscus)2. T.S. of hydrophyte stem.3. T.S. of xerophyte leaf.4. L.S. of monocot and dicot seed ( Maize and Bean)

Experiments:1. Study of distribution of stomata in dicot and monocot leaves.2. To study the effect of enzyme (amylase) action on three differenttemperatures and pH on starch solution.

Spotting :1. T.S. of ovary of Mammal.2. T.S. of testis of Mammal.3. Germinating pollen grain.4. T. S. of ovary to show type of placentation (marginal, axile, basal,parietal).5. T.S. of blastula of Mammal6. Whole mount of Plasmodium sporozoite7. Whole mount of Entamoeba histolytica trophozoite8. Ascaris

Comment on ecological adaptations of plants and animals:1. Xeric habitat – Plant and Animal (Opuntia and Camel)2. Aquatic habitat - Plant and Animal (Water Hyacinth and Fish)

Pollination:Insect and Wind pollinated flower – Hibiscus and Grass

Any Other Information:Neatness and accuracy should be maintained while organizing the practical file.The quality of the project work is more important than the volume of the assignment.Leave a gap of one page between different topics in practical file and project.

Date of submission:On the day of Biology Practical Exam of Initiation.



SUBJECT : BUSINESS STUDIES

Time to beSpent (Half anHour per day for10 Days) :

One Hour Per Day for Twenty Days.

WorkSpecification :

Case Study-: Incorporation of recruitment processmanagement


A-4 Sheets, pencil, black-ink pen, scale, stick-file, internet, andNews Papers and text book.

Instructions /Guidelines : Explanation should be based on facts.

Any Other Information:Date of submission: 12th July, 2016.Please Note:

1) Use A – 4 size Plain white paper.

2) Draw Outer Margin (4 sides Border) before writing.

3) Write your name, class, section, topic of the project and subject on the first cover page.

4) Use Stick-file for submitting the project-work. (Don’t do spiral binding now.)

5) Use only Black-ink.

6) Decoration or fancy-work is not required.

7) Before starting the project-work, write introduction part for the topic. Project – work

must not be for less than 20 pages.

8) As required, paste pictures or blank forms etc.

9) Don’t forget to put conclusion at the end.



SUBJECT : CHEMISTRY

WorkSpecification : Completion of Practical File


Practical File and Stationary items


Ensure good presentationFile should have 20 practicalsIndex should be completed.

Any other Information : Attached Sheet

Date of submission: On the first day of Initiation Exam.


SALTS TO BE WRITTEN IN FILE1. Aluminum nitrate

2. Magnesium nitrate3.Zinc acetate

4. Lead acetate5. Barium chloride6. Calcium chloride

7. Strontium carbonate8. Magnesium carbonate

9. Ferrous sulphate10. Copper sulphate


Aim:-Identification of organic functional groups in compounds -Sample 1Experiment Observation

1. To a given sampleadd potassium hydrogen sulphate.

Pungent irritating odour due to the formationof acrolein.

2. Add water toborax and shake it well. Now addphenolphthalein drop wise. To this addsample, shake it , warm and cool.

Pink colour disappears on adding sample whichreappears on warming and disappears oncooling.

3. To a given sampleadd crystals of phenol and add fewdrops of conc. Sulphuric acid. Heatgently and cool. Dilute with water andadd excess of ammonium hydroxide.

A red colouration is observed.

4. To a given sampleadd copper sulphate solution and fewdrops of dilute sodium hydroxidesolution.

A blue colouration is observed.

5. To the givensample add aqueous solution ofalkaline pyragallol and conc. H2SO4.Shake, warm and cool and add ethanolto it.

A red or violet colouration is observed

Result:- The functional group present in the sample is ---OH and the sample is Glycerol


1. To a given sampleadd fehling’s solution or Benedict’sand warm in water bath.

Brick red ppt. of Cu2O is observed.

2. To the givensample add aqueous pyragallolsolution .Now add a few drops of conc.HCl and heat the content.

A White ppt. is formed on addition of HCl itchanges to purple or brown on heating.

3. To a given sampleadd schiff’s reagent and heat for a fewminutes. Now add drops of conc. HCl.

Pink colouration changes to violet.

4. To a given sampleadd Tollen’s solution and warm inwater bath.

A silver mirroe is formed.

5. To the given A red ring is observed at the junction of the two


sample add resorcinol. Now slowly addconc. H2SO4 along the wall of the test-tube.

liquids.

6. To the givensample add excess amount of 2,4 DNP

An orange ppt. is observed.

Result:- The functional group present in the sample is CHO and the sample is Formaldehyde.


1. To the givensample, add 1 ml of sodiumnitroprusside solution. Mix the contentand now add 2 ml of sodium hydroxideand shake the mixture. Warm thecontent on a water bath and allow it tocool.

A Red colouration changes to violet and thenfades to yellow.

2. To the givensample, add highly concentratedsolution of sodium bisulphite.

A white crystalline precipitate is formed.

3. To the givensample, add mercuric chloride solutionfollowed by dilute NaOH solutiondropwise. Shake the content. Now addthe sample to it.

Yellow/ white precipitate which disappears onaddition of Sample.

4. To the givensample, add a pinch of m-dinitrobenzene followed by NaOH andshake well.

Violet colouration that fades on allowing thecontent to stand for a while.

5. To the givensample, add Iodine solution in KI anddilute NaOH. Warm the content on awater bath and allow it to cool.

Yellow precipitate of iodoform.

Result:- The functional group present in the sample is ---CO--and the sample is Acetone


1. To the given sample,add few drops of ethanol and a fewdrops of conc. Sulphuric acid and warmthe contents.

A fruity smell of ester

2. To the given sample,add ammonium hydroxide until it smellsof ammonia and add neutral ferric

A buff coloured ppt.is observed


chloride solution. Warm the contents.3. To the given sample,

add sodium carbonate.A brisk effervescence is observed

4. To the given sample,add water and warm. Now cool thecontents.

Shiny crystals o separates out.

Result:- The functional group present in the sample is ---COOH and the sample is benzoicacid


1. To a given sampleadd few drops of dil. Sulphuric acid . Tothis add K2Cr2O7 solution. Shake well andwarm in water bath.

Deep green/ blue colour is observed which turnsblack

2. To the given sampleadd few drops of conc. HCl and FeCl3

solution. Shake and dilute with water.

Pale green colour

3. To the given sampleadd few drops of conc. HCl and cool thecontents under tap. Shake. Now add 2 mlof cold 10% NaNO2. To this mixture add 2ml of cold alkaline beta napthol solution.

Red/ Orange dye

4. To a given sampleadd 2 to 3 drops of NaClO( sodium hypochlorite)solution and shake

A purple/ violet colour

Result:- The functional group present in the sample is CHO and the sample is Aniline.

Aim:-Identification of carbohydrates in a given food sample -Sample 1Experiment Observation

1. To a given sampleadd conc. Sulphuric acid and warm.

Charring occurs and a black mass is obtained.

2. To the givensample add 2 ml of lead acetatesolution and shake. Now add NH4OHand warm the contents in a waterbath.

White precipitate is observed which turnspink.

3. To a given sampleadd fehling’s solution and warm.

Brick red precipitate.

4. To a given sampleadd Tollen’s reagent and warm.

A silver mirror is formed.

5. To a given sample A violet ring is formed at the junction of the


add alcoholic alpha napthol solution (3-4) drops. Now add conc. Sulphuric acidalong the side of the test-tube.

two liquids.

6. To the solution ofsample add phenyl hydrazine andacetic acid. Now warm the contents.

A crystalline precipitate is formed.

7. To the givensample add a pinch of resorcinol andwarm the contents.

A light pink colour is observed.

Result:- The functional group present in the sample is ---OH and the sample is Glucose

Aim:-Identification of carbohydrates in a given food sample -Sample 2Experiment Observation

1. To a given sampleadd copper sulphate followed byaddition of NaOH.

A violet colour develops.

2. To the givensample con. HNO3 and neutralize theresulting solution with NH4OH.

An orange colour is produced.

3. To a given sampleadd fehling’s solution and warm.

Brick red precipitate.

Result:- Sample of food contains protein



SUBJECT : COMMERCE

Time to be Spent (One Hour perday for 20 Days) : One Hour Per Day for Twenty Days.

WorkSpecification :

Project Work – Any One from the Scope of Syllabus – 2018Page Number: 94


A-4 Sheets, pencil, black-ink pen, scale, stick-file, internet, andaccounts book.


Follow I.S.C. – Guidelines from Scope of Syllabus – 2018 pagenumber : 94

Any Other Information:Date of submission: 12th July, 2016.Please Note:

1) Use A – 4 size Plain white paper.

2) Draw Outer Margin (4 sides Border) before writing.

3) Write your name, class, section, topic of the project and subject on the first cover page.

4) Use Stick-file for submitting the project-work. (Don’t do spiral binding now.)

5) Use only Black-ink.

6) Decoration or fancy-work is not required.

7) Before starting the project-work, write introduction part for the topic. For Eg. If project

no. 10 is to be done then write about S.W.O.T Analysis – full form and meaning of SWOT.

8) Project – work must not be for less than 20 pages.

9) As required, paste pictures or blank forms etc.

10) Don’t forget to put conclusion at the end.



SUBJECT : COMPUTER SCIENCE

Time to be Spent(Hours per day for ___ Days) : 1 hour per day for 8 days.

WorkSpecification :

1) Practical Assignment File to be completed -30Assignments.

MaterialsRequired :

Ring file, A4 size paper, A4 size Ruled sheets (in caseyou submit hand-written VDT & Algorithm), Computer,Printer (Blank and White)[If required, you can arrangeprintout from school lab also- keep the softcopy ready]


1) You have already completed 20 Assignments in the practicalfile. The file that you submit after summer break should contain atotal of 30 assignments.2) For every assignment you need to do the following:a) Page 1: Assignment Statement.

b) Page 2: Write algorithm for the assignment (hand-written/type andtake Printout).

c) Page 3: solution/coding in Java black and white printout. When youtake printout of the coding, paste the code in MS-Word/WordPad.Put your name, class/TSVS/ISC 2018/Assignment number as footer.

For e.g. Sonia Wadhwa/12 Sc/TSVS/ISC 2018/Assignment 1

d) Page 4: Variable description table of the program (Hand-written/Printout) in the format given below:

Name ofvariable

Data_type Scope Responsibility/Purpose

Scope can be global or local to a specific method.

e) Page 5: Printout of sample Output Screen of the program.

Note: Assignments to be completed are already mailed to you.Practical file carries 10 marks for your Initiation Computer SciencePaper-2 (Practical).

Date of Submission: ON THE DAY OF COMPUTER SCIENCE PRACTICAL EXAM FORINITIATION.


SUBJECT : ENGLISH LITERATURE

Time to be Spent (___ Hours perday for ___ Days) : 20 mins for 6 days

WorkSpecification :

Compare and contrast the character of Claudio and Benedickas romantic heroes.


Shakespeare’s Much Ado About Nothing text


To be done in Literature notebook

Any Other Information:Date of submission: 12 th of June




SUBJECT : ENGLISH LANGUAGE

Time to be Spent (__ Hour perday for ___ Days) : 30 minutes for 6 days

WorkSpecification : Test paper 6


Total English –test Paper 6


To be done in language copy essay should be original, directedwriting amplified points underlined

Any Other Information:Date of submission: 12 th of June



SUBJECT : ECONOMICS

Time to be Spent (___ Hours perday for ___ Days) : One hour per day X 20 days = 20 hrs.

WorkSpecification :

Project on topics mentioned in the scope of the syllabus orany other relevant topic


A-4 Sheets, pencil, black-ink pen, scale, stick-file, internet, andaccounts book


It should be hand written project, preferably in black ink. Project and student name should be on the cover page Acknowledgment, certificate and content can be common for

both the projects. Clearly mention the objectives of the project The project should be divided into chapters with headings The project should be analytical, well supported by statistics,

graphs and empirical data. Graphs and tables should be well explained and always well

labelled Use statistical techniques where ever possible. Avoid pasting pictures and decorating it unnecessarily. Draw inferences from the analysis done. Conclusion should be clearly written summarizing the findings of

the project Bibliography should comprise of the list of references.

Date of submission: 12thJuly ,2017



SUBJECT : ENVIRONMENTAL SCIENCE

Time to be Spent (___ Hours perday for ___ Days) :

1 Hour per day for 10 Days or 1 month at theNGO if possible.

WorkSpecification :

Number of PROJECT to be completed - 01(For further details on project topics refer to ISC syllabus/Rulesand Regulation booklet)


Transparent file, sheets, print out material, photographs,statistics, graphs, cutouts, tables etc

Instructions/Guidelines :

General guidelines for completing project and case studiesFOR COVER PAGE:

* ACKOWLEDGEMENT – 1 PAGE* INDEX WITH PAGE NUMBER – 1 PAGE* INTRODUCTION OR PROJECT OVERVIEW – 1 PAGE* CONTENT OR BODY FOR PROJECT- 30 PAGES OR MINIMUM

3000 WORDS WITH HEADINGS, SUBHEADINGS.* CONCLUSION – 1 PAGE* BIBLIOGRAPHY – MENTION COMPLETE LINKS WITH SITES- 1

PAGE* ATTACH PRINT OUT MATERIAL IF TAKEN AFTER BIBLIOGRAPHY.* STICK PHOTOGRAPHS WHERE EVER NECESSARY.* SUPPORT YOUR PROJECT WITH STATISTICS,

GRAPHS, CUTOUTS, TABLES ETC* USE BLACK OR BLUE INK TO WRITE. USE PROJECT SHEETS TO

WRITE. PUNCH THEM AND DO SPIRAL BINDING.

THE SANSKAAR VALLEY SCHOOLPROJECT

NAME OF THE TOPIC:NAME OF THE STUDENT:STUDENT ID NUMBER:CLASS & SECTION:SESSION:


Any Other Information: Neatness and accuracy should be maintained while organizing theproject file.The quality of the project work is more important than the volume of the assignment.

Date of submission: 12/06/17



SUBJECT : HINDI

Time to be Spent (___ Hours perday for ___ Days) : 1Hours per day for 15 Days

WorkSpecification :

Writing of Question and Answers , Composition, Grammar &Reading Text Books.


Books & Handouts


1 - O;kdj.k %&

¼v½ O;kdj.k eatw"kk &eqgkojksa dk vFkZ fy[kdj okD;ksa esa iz;ksx djsa ¼i`"B Øekad

254 ls 257 rdA½

¼vk½ O;kdj.k eatw"kk &okD; 'kks/ku djsa ¼vH;kl i`"B Øekad 229 ls 231 rdA½

¼b½ fuEufyf[kr fo"k; ij 400 ’kCnksa esa fuca/k fy[ksa &

Hkkjrh; lH;rk rFkk laLd`fr dh rqyuk fdlh vU; ns’k dh lH;rkrFkk laLd`fr ls dhft,A

va/kfo’okl vkSj fo’okl esa D;k vUrj gS \ blls lacaf/kr ,slh ?kVukfyf[k, ftlus vkidks >d>ksj fn;k gksA

izkphu dky ls gh ekuo dh vKkr 'kfDr esa vVwV J)k jgh gS] lsizkjaHk dj ,d ekSfyd dgkuh fy[ksaA

vk, fnu jsyxkM+h esa dbZ ?kVuk,¡ ?kV jgh gSaA fdlh ,slh gh ,d ?kVukdk mYys[k vius 'kCnksa esa djsaA


lkjk vkdk’k %&

¼v½ ‘lkjk vkdk’k’ miU;kl esa f’kjh"k HkkbZ dk dFku ^la;qDr ifjokj dklcls cM+k uqdlku ;g gksrk gS fd ifjokj dk dksbZ Hkh lnL; vius O;fDrRodk fodkl ugha dj ikrk^ dh leh{kk dhft,A

¼vk½ pfj= fp=.k djsa& lej] izHkk] ckcwth] f’kjh"k rFkk HkkHkh A

3 +x| ladyu %&

¼v½ ^laLd`fr D;k gS\^ dgkuh dk mn~ns’; Li"V dhft,A

¼vk½ fdl ?kVuk ds ckn HkfDru dekbZ ds fopkj ls 'kgj vk igq¡ph \

4 +dkO; eatjh%&

¼v½ ^mn~;eh uj^ esa dfo us HkkX;okn dk fojks/k djrs gq, D;k rdZ fn;k gS \

¼vk½ ^dgu yxs eksgu eS;k&eS;k^& in dk izfrikn~; fy[ksaA

Any other Information: fu/kkZfjr frfFk ij gh ifj;kstuk dk;Z tek djsa vU;Fkk vad ugha fn,tk,¡xsaADate of Submission: 12 &06 &2017



SUBJECT : HISTORY

WorkSpecification : Each student will decide a topic in History for their project.


Project file, internet and relevant books.


COMMON INSTRUCTIONS

A. The research question

B. Abstract: it must contain the following information: Reason for choosing the topic. Methods and material to be used in the investigation. Hypothesis: the conclusion the student is hoping to draw.

C. Main essay: it must follow the structure given below: Background and context – to be discussed very briefly. Explanation of the theme and specific issue of the research

question in the context of the background given above. Interpretation, Analysis and Critical Evaluation of a range of

evidence: the research material gathered by the student Conclusion – whether hypothesis stands or not. Bibliography – a list of all material referred to in the essay,

including print, electronic, oral & audio-visual material,referenced correctly, in a standard formatunderstanding of the project essay.


1. Acknowledgement:

People who have helped and inspired you in the making of the project.

2. Cover Page

3. Index

4. Introduction:

Brief outline of the topic chosen.

5.Content : 20 pages

6. The project should be handwritten.

7. Pictures: (to support the content)

To be pasted or drawn neatly.

8. Conclusion:

Your deductions and suggestions

9. Bibliography:

Mention the sources of reference.

10. Support required

Access to libraries/newspapers/books/magazines/internet.


EVALUATION CRITERIA:

Date of submission: 12.06.17

S. No. Assessment objective Criteria Marks

1. Process

Candidates should be able to: Identify the topic,Plan and detail a research project. Select and useappropriate Research methods.

5

2.

Understanding,application of

knowledge andAnalysis

Candidates should be able to: Explain issues andthemes clearly and in context. Interpret, analyse andevaluate critically a range of evidence to presentreasoned, substantiated arguments/ statements.

5

3. PresentationOverall format, referencing (footnotes &/orbibliography), within word limit of 2000 words,title page, header/footer, etc.

5

4. Viva Range of questions based on the project only. 5

TOTAL 20



SUBJECT : MATHEMATICS

Time to be Spent (__One_ Hoursper day for __45_ Days) : At least one hour everyday.

WorkSpecification : Please do the question given below.


Do these questions on separate notebook or set of papersstapled together.You may refer to the text book or digital content referred onEdmodo.Or examfear.com


Do it everyday for one hour.Refer to your book & class notes . You may share yourdifficulties with your friends or with me [email protected] or Edmodo

Any Other Information:Date of submission: 10th June, 2017


Class XII(2017-18) Holiday Home work Maths

Please do these questions on separate notebook or sheets stapled together. These are questionsthat will help you prepare for the Initiation Examinations.

Determinants

QD1 By using properties of determinants, prove that the determinant

axax

xxa

1cos1sin

cossin is independent of x.

QD2 Prove that:0cybxbyax

cybxcbbyaxba

=(b2- ac)(ax2+2bxy+cy2)

QD3 By using properties of determinants, prove that:

xxxx

xxxxxx

2sin422sin41cossin

2sin4cos1sin2sin4cossin1

22

22

22

QD4 Prove: 3)(22

22

cbabacac

bacbcbacba

QD5 Find x without expanding 0432

432432

xx

x

QD6 Solve the following system of eq-s using (Matrices) Martin’s rule


352)(

yxyxa

(b)1225

154324

zyxzyx

zyx

QD7Prove: 2

22

22

22

)( cabcabababbaba

accacacabccbcbbc

QD8 Prove

Matrices

QM1 Solve the following linear equations using the matrix method:

0252752

9

zyxzyx

zyx

QM2 If

433232321

A , find A-1 using elementary operations and hence solve the following

system of linear equations:114332232432

zyxzyx

zyx

QM3 Using matrix method, solve the following equations:254219321635

zyxzyxzyx

QM4 If the matrix

251021226 x

A is a singular matrix, find the value of x.


QM5 Find x and y, if

3003

5207

yxandyx

QM6 If )()()(,cossinsincos

)( yxMyMxshowthatMM

QM7

121232405

&431341321

BIfA Find(AB)-1

QM8 Let

QM9

If matrix A =

001012111

, find A-1by using elementary transformations, also prove that A–1 =

A2.

QM10 If A=

0110

and B=

0

0i

iwhere ‘i’ is the square root of -1, verify that

(A+B)2=A2+B2.

Inverse Functions

QI1(a) Solve .4

3tan2tan 11 xx

(b)

Solve .2/36tan6tan 11 xx

(c) Solve cos (sin –1 x) = 1/9.


(d) Prove that : tan –1(1/3) + tan –1(1/5) + tan –1(1/7) + tan –1(1/8) = π/4.

(e) If

(f) Prove that53cos

21

92tan

41tan 111

(g) Prove that:21tan

247tan

112tan 111

(h) Prove that :8584cos

178sin

53sin 111

Q2 Evaluate

(a) Sin(sin-152

) )53sin(cos)( 1b (c) )

43cos(tan 1

(d) )21(sin2)

21(cos 11

Q3 (a) If 12,coscoscos 222111 xyzzyxthatprovezyx

(b) If xyzzzyyxxthatprovezyx 2111,sinsinsin 222111

Q4 Solve the following equations:

(a)2

1sintan 2121 xxxx

(b)31

2tan211cos4

12sin3 2

12

21

21

xx

xx

xx

(c)4

1tan61tan

51tan2

41tan 1111

x


Q5 Show that: sin xxx 121 sin2)12(sin

Continuity & Differentiability

Q1 If a function f is defined as4,0

)(

4,44

xxf

xxx

Show that f is continuous everywhere except at x = 4.

Q2 Determine the value of constant k so that the function2,3

)(2,2

xifxf

xifxkis

continuous.

Q3 Ifxifxifbaxxf

xif

5,753)(

3,1

Determine the values of a and b so that f(x) is continuous.

Q4 Prove that the function


0,1)(

0,sin

xxxf

xx

x

is everywhere continuous.

Q5 Find the points of discontinuity, if any for the following function

1,211,2)(

1,2

xifxifxxf

xif

Q6 If

2)(.)2(

2

,2

sin1)( 2

xatcontinuousisxfifofvalueFindfandxwhere

xxxf

Q7 Discuss continuity and differentiability of

2,321,)2)(1()(

1,1

xxxxxxf

xx

Q8 If1,2

)(1,32

xforbxxf

xforaxxis everywhere differentiable, find a & b.

Differentiation

Differentiate the following with respect to x.

1 sin(3x + 5)


2 tan2x

3 5x.logx

4xx

sin1sin1

5

2

21

11cos

xx

6 e3xcos2x

7

x

xcos1

sinlog

8 If yydxdyxthatprove

xxy )1(,

2

9 If y =

xx

2cos12cos1log

21 prove that xec

dxdy 2cos2

10 y =

2

21

2

21

11sec

11sin

xx

xx

11 If y =x

xdxdyxthatprove

xx 12,1

12a

yadxdythatprovethenyaxyIf

sin)(sin),sin(sin

2


13 If2

2

23,)(

y

dxdyx

dxydxthatprovethenxebxa x

y

14 Using Rolle’s theorem, find a point on the curve y = sinx +cosx -1,

2,0 x , where the

tangent is parallel to the x-axis.

15 Verify Rolle’s theorem for the function

xba

abxxf)(

log)(2

in the interval [a,b], where

],[ ba

16 Verify Lagranges M.V. Th. For the function f(x) = sinx - sin2x in the interval [0, ]

17 Use Lagrange’s mean value theorem to determine a point P on the curve 2 xydefined in the interval [2,3]where the tangent is parallel to the chord joining the endpoints on the curve.

18 Verify Lagrange’s mean value th. For the function: f(x) = x(1- logx) and find the value of cin the interval [1,2]

19 If y = sin(sinx), prove that0cos.tan 2

2

2

xydxdyx

dxyd

20 If y = 0)12()1(, 122tan 1

yxyxthatprovee x

Q21 A man 2 metres high, walks at a uniform speed of 6 metres per minute away

from a lamp post, 5 metres high. Find the rate at which the length of his shadow

increases.


Q22 The radius of a spherical balloon is increasing at the rate of 10cm/s.

At what rate is the surface area of the balloon increasing when radius is 15 cm?

Q23 An inverted cone has a depth of 10 cm and a base radius of 5 cm. Water is poured

into it at the rate of 3/2 c.c. per minute. Find the rate at which the level of water

in the cone is rising when depth is 4cm.

Q24 The radius of a sphere shrinks from 10 to 9.8 cm. Find approximately the decrease

in its volume.

Q25 Find the equation of the tangent to the curve y= -5x2+6x+7at the point ( ½,35/4)

Q26 Find the equation of the normal to the curve y=2x2 +3sinx at x = 0

Q27 Find the equation of the tangent line to the curve sin,cos1 yx when

4

Q28 (i)11lim

1

xx n

x(ii) 20

1limxcox

x

Q29 30

4cos2lim

ee

Q30 Evaluate:

xxx

x log1

1lim

1


SECTION C

Q1 Find the maximum value of the function C = 2x + 3y subject to

0,0142102

yxyxyx

Q2 Solve the following linear programming problem graphically:

0,0,5,4,6:int,53: yxyxyxsconstrathetosubjectyxZMinimize

Q3 If a young man rides his motor cycle at 25 km per hour, he has to spend Rs2 per kilometer; ifhe rides at a faster speed of 40 km per hour, the petrol cost increases to Rs5 per kilometer. Hehas Rs100 to spend on petrol and wishes to find the maximum distance he can travel within onehour. Express this as a linear programming problem and then solve it.

Q4 A furniture dealer deals in only two items : tables and chairs. He has Rs 5000 to invest and aspace to store atmost 60 pieces. A table costs him Rs 250and a chair Rs 50. He can sell a table ata profit of Rs 50 and chair at a profit of Rs 15. assuming that he can sell all the items that hebuys. Formulate the linear programming problem for maximizing his profit

Q5 A dealer wishes to purchases a number of fans and sewing machines. He has only Rs. 5760 toinvest and has space for at the most 20 items. A fan costs him Rs. 360 and a sewing machine Rs.240. He expects to sell a fan at a profit of Rs. 22 and a sewing machine for a profit of Rs. 18.Assuming that he can sell all the items that he buys, how should he invest his money to maximizehis profit? Solve it graphically.


Q6 A farmer has a supply of chemical fertilizer of type A which contains 10% nitrogen and 5%phosphoric acid, and type B contains 6% nitrogen and 10% phosphoric acid. After testing the soilconditions of the field, it was found that at least 14 kg of

nitrogen and 14 kg of phosphoric acid is required for good crop. The fertilizer of type A costs Rs5per kg and the type B costs Rs3 per kg. How many kg of each type of the fertilizer should be usedto meet the requirement at the minimum possible cost? Using L.P.P. solve the above problemgraphically.

Section – B

Q1 (a) If a→ = i – 2j + 3k and b→ = 2i + 3j – 5k, find a→×b→. Verify that a→ and a→×b→ areperpendicular to each other.

(b) Find λ such that the four points A(3, 2, 1), B(4, λ, 5), C(4, 2, –2) and D(6, 5, –1) are coplanar.

Q2 Prove that

: (a→ – b→)×(a→ + b→) = 2(a→×b→)

and give a geometrical interpretation to |(a→ – b→)×(a→ + b→)|.

Hence, find the area of a parallelogram whose diagonals are represented by the vectorsa→ = 3i + j – 2k and b→ = i – 3j + 4k.

Q3 If and , find a vector of magnitude 5 perpendicular to

both and

Q4 Find the area of the parallelogram ABCD where diagonal AC and BD are

represented by the Vectors 3 2 and respectively.


Q5 If kjickjibkjia ˆˆ2ˆ&ˆ3ˆ2ˆ4,ˆˆˆ

, find a vector of magnitude 6 units which is

parallel to the vector cba 32 .

Q6 If ba& are unit vectors such that baba

810&42 are perpendicular to each other, find the

angle between ba& .



SUBJECT : PHYSICAL EDUCATION

Time to be Spent(An Hour per day for 50 Days) : Half an hour to 1 hour per day for 45 days.

Time to be Spent(An Hours per day for 15 Days) : 1 Hour per day for 15 Days.

WorkSpecification (50days) :

Do fitness exercise for your physical efficiency and for beingphysically fit.

WorkSpecification (15days) :

Project work.

MaterialsRequired :

One file/spiral notebook for Project, Text Book, Writing &Drawing Materials, Internet & Library support, CoveringMaterial, Reference Books, Photographs, where applicable.


Select one Project of your choice, in consultation with your teacher.Organize your writing material.Write in your own handwriting in the file; computer print-outs are notallowed.Sub-headings : Title, Acknowledgement, Index, Content (if applicable)Write rules and regulations of the game, cups, trophies, tournamentsand famous player’s name.Cover the File.Write the project title, your name, Name of the School & year – noexcessive decoration is required.

Any Other Information: Neatness and accuracy should be maintained whileorganizing the practical file.The quality of the project work is more important than the volume of theassignment.Date of submission: 30 June 2017



SUBJECT : PHYSICS

Time to be Spent (___ Hoursper day for ___ Days) : (1 hour per day for 10 days )

WorkSpecification : Project work

MaterialsRequired :

One Project file , Text Book, Writing & Drawing Materials,Internet & Library support, Covering Material, ReferenceBooks, Newsprints , Photographs, Graphs, where applicable


You are required to prepare a technical report formally written, includingan abstract, some theoretical discussion, experimental set up,observation and data collected, analysis and discussion of the result,conclusion e.t.c the project can be a theoretical one as well on any of thetopic related to physics.You will be assessed on:

a) Conceptual clarity /understandingb) Computations (if any)c) Presentation (No extra credit shall be given for type-written

material / decorative cover. e.t.cYou can work on any topic of your choice from the list given below orany topic related to physics syllabi of XI & XII.

1. To find working of fiber optics and application in modern life.2. To find current by measuring voltage across a given resistance.3. To compare the Young’s modulus of elasticity of different

specimens of rubber and also draw their elastic hysteresis curve.4. Applications of lens.5. To study luminosity of various electric lamps of different powers

and make.6. Examine the energy involved in SHM and verify principle of

conservation of energy.

Any Other Information:Date of submission: 12th June 2017



SUBJECT : POLITICAL SCIENCE

Each Project should have the following

Cover Page: Topic Name: Who is it submitted to? Your Name, School Name (1 Page) Choice ofTopic is completely the discretion of the students. Please weigh the choice in favor of anissue/case study that you feel strongly about and would work

Contents: (1 Page)

Acknowledgement: People you would like to thank for the completion of project (1 Page)

Introduction of the Topic: Brief outline of the topic with the background (2-3 Pages). It shouldinclude all the details regarding the topic, background and explanation of the events, keyconcepts etc. Expand the topic in the form in which you would like to present.

Reason for the selection of the Topic: Justify the reasons why this particular topic is ofinterest to you? (1 Page)

Framing Research Question: Objective of the Study: It should include a lot of WHY? andHOW? And WHAT? of the topic under consideration(2 Page)

Hypothesis(1 Page) The points that you would like to prove through the research or thecausal relations that you would like to establish through the research

Methodology(1 Page) Collection of Data (If the research is a case study) (1 Page) Elaboration of the Topic(6-7 Pages) Include lots of pictures and diagrams include the studies

and findings of other researchers/authors etc Analysis of the various aspects of the topic(6-7Pages) Establish the cause and effect relationship between your research propositions(3-4 Pages) Derivatives or conclusion(3 Pages) Bibliography ( All Sources to be included)



SUBJECT : PSYCHOLOGY

Time to be Spent (___ Hours perday for ___ Days) : One hour for 15 days

WorkSpecification :

Attitude (A short Comparative Study)

Class teaching

Notes &answers


Psychology Books, Internet

Instructions /Guidelines : Please do it as explained in class in the following method.

Any Other Information:

1) Project work -

Area Topic given on Attitude

Testing object –

To study or to make a comparative study on attitudinal differences , regarding lifestyle, marriage, work among students/workers (of class x, xi, xii) or others asassigned.

Sample Size - 20 students


Tools - Self made checklist (five point scale)

Project will be based on a written report which should cover –

(I) Aim

(II) Basic concept: Definition of concepts used and related theory. Identification ofthe variables.

(lll) Method-

(i) Sample of the Study

(ii) Procedure followed (data-collection, nature of raw data)

(iii) Statistical Treatment of Data

(iv) Results & Discussion

(v) Conclusion

Analysis- Attitudinal differences and the effects that occurs with the most to theleast frequency and explain each (in term of statistic) as discussed in the class.

2) Class teaching- Prepare one class teaching on the topic given in the class.

3) Notes &answers- Make notes and write answers on the topics/questionsgiven.

Date of submission: 26 th June17



SUBJECT : SOCIOLOGY

Time to be Spent (___ Hours perday for ___ Days) : 1 hour per day for 10 days

WorkSpecification :

Project work on ANY ONE topic (field view) out of the list of suggestedprojects given in your syllabus.

MaterialsRequired :

File, Ruled coloured papers, colors, markers, fevicol, internet, referencebooks, magazines, newspapers etc.


Following instructions need to be followed while making the Project;

1. Write the projects in your own handwriting.2. Add pictures, photographs, press release wherever necessary.3. Numbering should be done on each page.4. The following sequence must be followed:

Title page- Topic of the Project, Subject, Student’s nameand Class.

Acknowledgement. Index Statement of purpose. Hypothesis Choice of technique Collection and Analysis of data Limitation Conclusion Bibliography.

Date of submission: 12 June17

12 - sanskaar valley school · slide preparation : 1. ... whole mount of entamoeba histolytica...

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