1

DELHI PUBLIC SCHOOL, JAMMU

HOLIDAY HOMEWORK

Class: XII

SESSION: 2018-19

Dear Parents,

There is no doubt that vacations are the most appropriate time for the students to

refresh and rejuvenate themselves to gear up for the rest of the Academic Session.

Children have ample energy which needs to be channelized in the right direction to

get the best out of them. Keeping this in mind, the holiday homework has been

designed to make them more observant and confident.

Hope our students enjoy doing the same with the needful attention and support from

their respective parents.

Principal

DPS Jammu

END IS NOT THE END, INFACT E.N.D MEANS

“EFFORT NEVER DIES”

2

English 1 Do all the following questions in English Home-work Notebook.

1 Read the Novel ‘The Invisible Man’ and do the following.

a) Write chapter-wise summary of first fifteen chapters.

b) Write character sketch of :

i) Mr Teddy Henfray ii) Mrs Hall iii) Mr Marvel iv) Mr Cuss

2 Do the following questions .

a) Write 5 questions of Notice.

b) Write 5 questions of Advertisement. ( Classified )

i) Situation Vacant

ii) Sale/Purchase ( Property and Vehicle )

iii) Lost and Found

iv) Travel and Tours

v) Missing Persons and Pets

c) Write the following letters.

i) 3 Letters of complaint ii) 3 Letters of Placing Order

iii) 4 Letters to the Editor of newspaper

iv) Write Articles on following in 150-200 words each.

Need for inculcating Healthy Dietary Habits

Social Networking—A Boon or a Bane

Role of Students in Removing Illiteracy

Impact of Advertisement on Younger Generations

Importance of Time Management

3 Read Newspaper Everyday and do the following.

a) Paste 10 Advertisements (Classified) and 10 Ads (Display) in the Notebook.

b) Paste 5 Articles from the Newspaper in the Notebook and write summary

of each article in 120 words.

3

Mathematics

RELATION AND FUNCTION:

1. If the function f: W→W defined by 𝑓 𝑥 = 𝑥 + 1, 𝑖𝑓 𝑥 𝑖𝑠 𝑒𝑣𝑒𝑛𝑥 − 1, 𝑖𝑓 𝑥 𝑖𝑠 𝑜𝑑𝑑

𝑖𝑠 𝑖𝑛𝑣𝑒𝑟𝑡𝑖𝑏𝑙𝑒, 𝑓𝑖𝑛𝑑 𝑓−1 .

2. Let f: N→R be a function defined by f(x) =9x2+6x-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).

3. Let A=Q×Q and let * be a binary operation on A defined by (a,b)*(c,d)=(ac,b+ad) for

(a,b)*(c,d)εA. Determine, whether* is commutative and associative.Then, with respect to * on A,

i) Find the identity element in A

ii) Find the invertible elements of A

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

(a,b)R(c,d) in A×A. Prove that R is an equivalence relation. Also obtain the equivalence class

[(2,5)].

INVERSE TRIGONOMETRIC FUNCTIONS:

5. Solve: 𝑐𝑜𝑠 sin−1 2

5+ cos−1 𝑥 = 0.

6. Solve: tan−1 1−𝑥

1+𝑥 =

1

2tan−1 𝑥 .

7. Prove that: tan (𝜋

4+

1

2cos−1 𝑎

𝑏)+ tan (

𝜋

4−

1

2cos−1 𝑎

𝑏) =

2𝑏

𝑎.

MATRICES AND DETERMINANTS:

8. Using properties of determinants, prove the following

1 𝑎 𝑎2 − 𝑏𝑐1 𝑏 𝑏2 − 𝑐𝑎1 𝑐 𝑐2 − 𝑎𝑏

= 0 .

4

9. If ∆1= 1 𝑥 𝑥2

1 𝑦 𝑦2

1 𝑧 𝑧2

, ∆2= 1 1 1𝑦𝑧 𝑧𝑥 𝑥𝑦𝑥 𝑦 𝑧

, then prove that ∆1+∆2= 0.

10. Find the value of θ , satisfying 1 1 𝑠𝑖𝑛3𝜃

−4 3 𝑐𝑜𝑠2𝜃7 −7 −2

= 0 .

11. Using properties of determinants, prove the following

ababa

baaba

babaa

2

2

2

= 9b2( a + b ) .

12. Prove by using properties of determinants:

−𝑎(𝑏2 + 𝑐2 − 𝑎2) 2𝑏3 2𝑐3

2𝑎3 −𝑏(𝑐2 + 𝑎2 − 𝑏2) 2𝑐3

2𝑎3 2𝑏3 −𝑐(𝑎2 + 𝑏2 − 𝑐2)

= 𝑎𝑏𝑐 𝑎2 + 𝑏2 + 𝑐2 3

13. Prove by using properties of determinants:

𝑏 + 𝑐 2 𝑎2 𝑏𝑐

𝑐 + 𝑎 2 𝑏2 𝑐𝑎

𝑎 + 𝑏 2 𝑐2 𝑎𝑏

= 𝑎2 + 𝑏2 + 𝑐2 𝑎 + 𝑏 + 𝑐 𝑏 − 𝑐 𝑐 − 𝑎 (𝑎 − 𝑏).

14. If x, y, z are in GP, then using properties of determinants, show that

𝑝𝑥 + 𝑦 𝑥 𝑦𝑝𝑦 + 𝑧 𝑦 𝑧

0 𝑝𝑥 + 𝑦 𝑝𝑦 + 𝑧 = 0, where x ≠ y ≠ z and p is any real number.

15. Using elementary row transformations find the inverse of the following matrices:

i) 2 5 33 4 11 6 −2

ii) 2 −1 44 0 23 −2 7

iii) 2 0 −15 1 00 1 3

5

iv) −1 1 21 2 33 1 1

v) 1 3 −2

−3 0 −12 1 0

16. Express the following matrices as the sum of symmetric and skew-symmetric

matrices:

i) 2 4 −67 3 51 −2 4

ii) 2 3 11 −1 24 1 2

17. If A = 1 −1 0

−1 2 10 1 1

and B = 1 1 −10 1 −10 0 1

, show that BTAB is a diagonal matrix.

18. Three school X,Y and Z organized a fete(mela) for collecting funds for flood victims in

which they sold hand held fans, mats and toys made from recycled material, the sale

price of each being 25/- , 100/- and 50/- respectively. The following table shows the

number of articles of each type sold:

Article X Y Z

Hand held fans 30 40 35

Mats 12 15 20

Toys 70 55 75

Using matrices, find the funds collected by each school by selling the above articles and

the total funds collected. Also write one any value generated by the above situation.

19. If ∆1= 1 𝑥 𝑥2

1 𝑦 𝑦2

1 𝑧 𝑧2

, ∆2= 1 1 1𝑦𝑧 𝑧𝑥 𝑥𝑦𝑥 𝑦 𝑧

, then prove that ∆1+∆2= 0.

20. Find the value of θ , satisfying 1 1 𝑠𝑖𝑛3𝜃

−4 3 𝑐𝑜𝑠2𝜃7 −7 −2

= 0 .

6

21. Using properties of determinants, prove the following

ababa

baaba

babaa

2

2

2

= 9b2( a + b ) .

22. Prove by using properties of determinants:

−𝑎(𝑏2 + 𝑐2 − 𝑎2) 2𝑏3 2𝑐3

2𝑎3 −𝑏(𝑐2 + 𝑎2 − 𝑏2) 2𝑐3

2𝑎3 2𝑏3 −𝑐(𝑎2 + 𝑏2 − 𝑐2)

= 𝑎𝑏𝑐 𝑎2 + 𝑏2 + 𝑐2 3

23. Prove by using properties of determinants:

𝑏 + 𝑐 2 𝑎2 𝑏𝑐

𝑐 + 𝑎 2 𝑏2 𝑐𝑎

𝑎 + 𝑏 2 𝑐2 𝑎𝑏

= 𝑎2 + 𝑏2 + 𝑐2 𝑎 + 𝑏 + 𝑐 𝑏 − 𝑐 𝑐 − 𝑎 (𝑎 − 𝑏).

24. If x, y, z are in GP, then using properties of determinants, show that

𝑝𝑥 + 𝑦 𝑥 𝑦𝑝𝑦 + 𝑧 𝑦 𝑧

0 𝑝𝑥 + 𝑦 𝑝𝑦 + 𝑧 = 0, where x ≠ y ≠ z and p is any real number.

7

Physics

Prepare a Project and a Project Report .

General Guidelines:

The project chosen should be from any of the topics from XII class

curriculum. Some of them are listed below:

(i) Electromagnetic Induction

(ii) Diffraction of light

(iii) Light Dependent Resistor

(iv) Electroscope

(v) Eddy currents

(vi) Transformer

(vii) Logic gates

(viii) Rectifier

(ix) Photo diode

You can also choose any one from the suggested investigatory projects

recommended by the CBSE.

Report of your project should be hand written and should be according to the

format mentioned below.

Name/ Title ot the project

List of components used along with their specifications

Theory/ principle behind the working of project

Related diagrams

Working in detail /procedure

Further modifications (if any) can be done

Bibliography

Chemistry

1. Make a list of all the named reactions in chapter 10 – 11 and write them in your assignment

register.

2. Write all the reaction mechanisms in chapter 10-11 in your assignment register.

3. Complete your investigatory project (any one)

i) Study of quantity of casein present in different samples of milk

8

ii) Extraction of essential oils present in saunf (aniseed), Ajwain (carum) and Illaichi

(cardimoni).

iii) Study of common food adulterant in fat, oil, butter, sugar, turmericpowder, chillipowderand

pepper.

iv) Comparative study of the rate of fermentation of following material wheat flour, gram flour,

potato juice, carrot juice etc.

v) Preparation of soyabean milk and its comparison with the natural milk with respect to curd

formation effect of temperature etc.

a) Compare your results with those available in the reference books.

b) Discuss your results in the light of available information about the project and draw out

meaningful conclusion.

1. Make use of graphs, photographs, diagrams or models to support your observations and

conclusions.

2. Give a list of books, magazines/journals and internet sites you have consulted during the

course of your project.

3. Acknowledge the guidance, help and assistance rendered by your Principal, teachers,

parents, and friends by expressing sincere gratitude and thanks to them in the beginning.

I.3 How to write an investigatory project:

Students are required to get their project report typed on bond paper sheets and to represent

in the best possible manner. The project report should be written in the following sequence:

1. Title / Aim – Name of the project.

2. Introduction – Information collected from various sources related to the topic.

3. Observations – Record your observations / data in the form of tables, graphs, photographs,

etc.

4. Results / Conclusion – Give analysis of the data and compare your results with those

available in the literature and draw conclusions.

5. References – Give the list of books, internet websites, magazines or journals you have

consulted, for the project work.

9

Biology

Science operates on the edge of what is known, to discover more about what is not… we have to be a person of what we can do to explore being young scientists……

I.1 Make an investigatory project on any of the following topics:

For selection of the topic for the project, you work and read different chapters of your syllabus and

also consult scientific literature, magazines, and newspapers, go and use search engines of internet,

etc. Then select the topic of your interest.

Importance, usage and preparation of bio-insecticides and pesticides.

Population Explosion and Control.

Organic Farming / Organic Agriculture.

HUMAN DISEASES Any human disease can be taken as a topic and collect the complete

information with statistical data and a support of statistical analysis about the same

questioners.

Effect of salinity of water on the growth of one type of plant.

Effect of pH of water on the growth of one type of plant.

Applications of Biotechnology.

Genetically Modified Organisms.

Environmental Pollution.

Drug Addiction and Control.

I.2 Following points should be kept in mind while performing the experiments for the project

work.

4. Compare your results with those available in the reference books.

5. Discuss your results in the light of available information about the project and draw out

meaningful conclusion.

6. Make use of histograms, graphs, photographs, diagrams or models to support your

observations and conclusions.

7. Give a list of books, magazines/journals and internet sites you have consulted during the

course of your project.

8. Acknowledge the guidance, help and assistance rendered by your Principal, teachers,

parents, and friends by expressing sincere gratitude and thanks to them in the beginning.

I.3 How to write an investigatory project:

Students are required to get their project report typed on bond paper sheets and to represent

in the best possible manner. The project report should be written in the following sequence:

6. Title / Aim – Name of the project.

7. Introduction – Information collected from various sources related to the topic.

10

8. Observations – Record your observations / data in the form of tables, histograms, graphs,

photographs, etc.

9. Results / Conclusion – Give analysis of the data and compare your results with those

available in the literature and draw conclusions.

10. References – Give the list of books, internet websites, magazines or journals you have

consulted, for the project work.

COMMERCE

ACCountancy

COMPREHENSIVE PROJECT STATEMENT M/s 'Super Cars'

Arjun did his Graduation from Delhi University and MBA from Indian Institute of Management

(Indore). He got job with a good salary. After few years of work experience, he started his business

of assembling toy cars and named his business 'Super Cars'. On 1st April, 2017 he introduced a

capital of Rs.2 lakhs in cash and Rs.33 lakhs by cheque. He also took a loan of Rs.10 lakhs from

the State Bank of India, borrowed Rs.5 lakhs from his friend, Soheila by cheque.

He took premises on rent at Rs.10,000/- per month in Okhla Industrial Area, New Delhi for setting

up of his new factory. On 1st April, 2017 he purchased machinery of Rs.10 lakhs and furniture for

his office worth Rs.1,00,000 through a cheque. On the same date he withdrew Rs.8,00,000 from

bank account for meeting day to day business expenses. He hired an executive to help him in

setting up the business at a salary Rs.10,000 per month. He also took an insurance cover at a

premium of Rs.50,000 per annum on 1st April. Within one month, he was ready to assemble toy

cars. On 1st May, he made purchases for Rs.70 lakhs out of which Rs.60 lakhs were still payable

and hired 5 workers on monthly wages of Rs.8,000. On the same date he purchased a telephone

and installed it, which cost him Rs.2,000. The payment of the telephone was made through a

cheque. He also paid Rs.20,000 by cheque to print catalogues for his products. Payment of all

routine expenses was made at the end of the year. By the end of the year, all wages were paid

11

every month in cash. Machinery and Furniture were depreciated @ 10% per annum. Total sales

amounted to Rs.90 lakhs. He paid annual electricity charges of Rs.1,00,000 and telephone

expenses Rs.15,000 by cash. He withdrew Rs.1 lakhs from bank for personal use. On 31st March

2018 he purchased investments worth Rs.10 lakhs through bank. He repaid Rs.5,00,000 with

Rs.25,000 as an interest to Soheila on account of the loan taken earlier. There was a fire in the

factory that destroyed goods worth Rs.2,00,000 out of which the insurance company admitted a

claim of Rs.1,00,000. He paid Rs.50,000 as carriage by cash. Interest on bank loan was Rs.50,000

due but not paid. At the end of year closing stock was valued at Rs.10 lakhs.

You are required to prepare the following:

(a) Journalize the above transactions, post them into ledger accounts and prepare trial balance for

the year ended 31st March, 2018.

(b) Trading and Profit and Loss Account for the year ending 31st March, 2018 and Balance sheet

as at 31st March, 2018. Also help Arjun in analyzing the short term and long term solvency

position of the firm to find out if business approaches a bank for a loan, will the bank oblige? Also

calculate profitability ratios of the firm to find out whether it was a profitable venture and he

should increase the investment of the firm.

BUSINESS STUDIES

Prepare a project on marketing management .Students are required to select any one of the specified

product /service keeping in mind the following .

1. Why have they selected this product /service ?

2. Find out 5 competitive brands that exist in the market .

3. What permission and licences would be required to make the product ?

4. What are your competitors Unique Selling Proposition (U.S.P)?

5. Does your product have any range give details ?

6. What is the name of your product ?

7. Enlist its features .

8. Draw the ‗Label ‗for your product .

9. Draw a logo for your product .

10. Draft a tag line .

11. What is the selling price of your competitor‘s product ?

12. How will your product be packed ?

13. Which channel of distribution are you going to use ? Give reasons for selection ?

14. Decisions related to warehousing , state reasons .

15. List 5 ways of promoting your product .

16. Any schemes for ...... i) The Wholesaler ii) To retailer iii) The consumer

17. What is going to be your U.S.P ?

12

18. What means of transport you will use and why ?

19. Draft a social message for your label .

20. What cost effective techniques will you follow for your product ?

21. What cost effective techniques will you follow for your promotion plan?

Instructions for the Project:

a) The total length of the project will be of 25 to 30 pages .

b) The project should be hand written .

c) The project should be presented in a neat folder .

The project report should be developed in the following sequence.

Cover page ( Title , Student information , School & year )

List of contents

Acknowledgements

Introduction

Topic & Heading

Planning

Observations

Conclusions

Photographs

Appendix

Teacher‘s Observation

Signatures of Teachers

After evaluation the project should be punched .

Return after evaluation

Economics

Prepare a Project on any one of the following topics:

1. GST

2. Demonetization

3. Forms of Market

4. Meaning and functions of RBI

5. Methods of National Income

Mode of Presentation:

1. Meaning and Definition

2. Application of the concept

3. Diagrammatic Explanation

13

4. Numerical Explanation

5. Student‘s own views on the topic

Instructions:

1. The project should be hand written.

2. It should be of 15-20 pages.

Computer Science

Note: Attempt all the questions in a separate holiday‘s Homework notebook.

Q1.Differentiate between public and private visibility modes in context of Object Oriented

Programming using a suitable example illustrating each.

Q2. What is difference between in structure and class?

Q3. Difference between "assignment operator" and a "copy constructor"

Q4.What is type def and size of operator in c++?

Q5.What is Actual parameter and formal parameter in c++?

Q6.What is difference between Local & Global? Explain

Q7.Differentiate between a default and a parameterized constructor incontext of class and

object. Give suitable example in C++.

Q8.Write a function in c++ which accepts a 2D array of integers, number of rows and number

of columns as arguments and assign the elements which are divisible by 3 or 5 into a one

dimensional array of integers. If the 2D array is

12 3 9 14

24 25 16 31

19 32 45 27

11 5 28 18

14

The resultant 1D arrays is 12, 3, 9, 24, 25, 45, 9, 5, 18

Q9. Write a function in C++, which accepts an integer array and its size as parameters and rearranges the array

in reverse. if an array of nine elements initially contains the elements as 4, 2, 5, I, 6, 7, 8, 12, 10

Physical education

Q1. Write about any two factors which affect motor development in child.

Q2. Explain good leader and its qualities.

Q3. How yoga helps to improve quality life ?

Q4. Why does the weight lifters diet include lots of protein ?

Q5. Describe the risk factor in taking food supplement.

Q6. Recall the adaptive affects that take place in our respiratory system after engaging in

exercise for longer periods .

Q7. Participation in sport results in all around development of personality. Justify.

Q8 Sports can channel a child‘s competitive sprit in healthy direction. Explain.

15

Humanities

History

Long answer question

Q1. What were the various characteristics features of Indus valley civilization?

Q2. What was the town planning of Mohenjo-Daro?

Map Based Questions

On the map of India locate the following sites, cities, towns and kingdoms.

A) All the Mature Harappan sites.

B) Sixteen Mahajanpadas along with their capitals.

C) The distribution of Ashokan Inscriptions.

D) Some of the important towns and kingdoms during Muryan Empire.

E) The region and neighboring area of the Kuru Panchala.

Geography

Each student is required to complete the practical work as per the

following topics:

1. Processing of Data and Thematic Mapping

2. Tabulation and Processing of Data

3. Representation of Data- Choropleth and Isopleth Maps

4. Data Analysis and Generation of Diagrams, Graphs and other usual diagrams using

computer

5. Spatial Information Technology

Guidelines:

1. The project file should be hand written.

2. The files should be submitted on or before 20th

July.

******************************************************************************

16

Political science

1 .The Cold War produced an arms race as well as arms control. What were the reasons for both

these developments?

2.Write an essay (for or against) on the following proposition : ― With the disingtegration of the

Second World , India should change its foreign policy and focus more on friendship with the

US rather than with traditional friends like Russia .‖

3.Give a brief analysis about Indo – US Relations between 2016-18 .

4. ―If big and resourceful states cannot resist the US Hegemony , it is unrealistic to expect much

smaller and weaker non state actors to offer any resistance .‖ Examine this proposition and

give your opinion .

5. Study the passage given below and answer the questions that follow :

Another section , mostly Kashmiris , believe that the autonomy conferred by Article 370 is

not enough .A section of Kashmiris have expressed at least three major grievances . First ; the

promise that , accession would be referred to the people of the state after the situation created by

tribal invasion was normalized , has not fulfilled . This has generated the demand for a‖

plebiscite ―. Secondly , there is a feeling that the special federal status guaranteed by Article

370 , has been eroded in practice . This has led to the demand for restoration of autonomy or

―Greater State Autonomy‖. Thirdly , it is felt that democracy which is practiced in the rest of

India has not been similarly institutionalized in the State of Jammu & Kashmir .

1.What is meant by ― Plebicite ―?

2.What type of autonomy does the Article 370 ensure to the State concerned ?

3.State the incident referred to as ― tribal invasion ― in the given passage .