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VIDYA DEVI JINDAL SCHOOL, HISAR SESSION 2019-20 SUMMER VACATION HOLIDAY HOME WORK CLASS XII SUBJECT ENGLISH INSTRUCTIONS: 1. All assignments to be done/presented through PPTs. 2. It’s an individual assignment. Originality, creativity and authenticity will be respected and awarded. 3. Assignments are designed as per the roll number. Kindly adhere to the same. 4. Students are also welcome to share any good piece of writing ( on Article/Debate/Report/Speech) if they come across such in the Newspaper/Magazine etc.(optional) Q1. Roll no. 1 to Roll no. 5 Poem : My Mother at Sixty Six Prepare a power point presentation, supporting with pictures and animation Kamala Das( Introduction) Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Article on ‘Women Empowerment’ Q2. Roll no 6 to Roll no 10 Poem : An Elementary School Classroom in a Slum Prepare a power point presentation, supporting with pictures and animation Stephen Spender( Introduction) Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11 to Roll no.15 Poem : Keeping Quiet Prepare a power point presentation, supporting with pictures and animation Pablo Neruda( Introduction) Explanation and analysis of poem

CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

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Page 1: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

VIDYA DEVI JINDAL SCHOOL, HISAR

SESSION – 2019-20

SUMMER VACATION HOLIDAY HOME WORK

CLASS XII

SUBJECT – ENGLISH

INSTRUCTIONS:

1. All assignments to be done/presented through PPTs.

2. It’s an individual assignment. Originality, creativity and authenticity will be respected

and awarded.

3. Assignments are designed as per the roll number. Kindly adhere to the same.

4. Students are also welcome to share any good piece of writing ( on

Article/Debate/Report/Speech) if they come across such in the Newspaper/Magazine

etc.(optional)

Q1. Roll no. 1 to Roll no. 5

➢ Poem :

My Mother at Sixty Six

• Prepare a power point presentation, supporting with pictures and animation

❖ Kamala Das( Introduction)

❖ Explanation and analysis of the poem

❖ Message & theme of poem

❖ Literary devices used in the poem

➢ Article on ‘Women Empowerment’

Q2. Roll no 6 to Roll no 10

➢ Poem :

An Elementary School Classroom in a Slum

• Prepare a power point presentation, supporting with pictures and animation

❖ Stephen Spender( Introduction)

❖ Explanation and analysis of the poem

❖ Message & theme of poem

❖ Literary devices used in the poem

➢ Speech on “Save Water”

Q3. Roll no. 11 to Roll no.15

➢ Poem :

Keeping Quiet

• Prepare a power point presentation, supporting with pictures and animation

❖ Pablo Neruda( Introduction)

❖ Explanation and analysis of poem

Page 2: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

❖ Message & theme of poem

❖ Literary devices used in the poem

➢ Debate Writing on – ‘Should a Teacher be replaced with an Internet in

Classsroom?” (Either in favour or against)

Q4. Roll no 16 to Roll no 20

➢ Poem :

A Thing of Beauty

• Prepare a power point presentation, supporting with pictures and animation

❖ John Keats( Introduction)

❖ Explanation and analysis of poem

❖ Message & theme of poem

❖ Literary devices used in the poem

➢ A Report for magazine on – “Celebration of World Environment Day in ABC

School”

Q5. Roll no 21onwards

➢ Poem :

Aunt Jennifer’s Tigers

• Prepare a power point presentation, supporting with pictures and animation

❖ Adrienne Rich( Introduction)

❖ Explanation and analysis of poem

❖ Message & theme of poem

❖ Literary devices used in the poem

➢ Article on ‘The Role of Youth in a Nation Building

SUBJECT - Fine Arts

1. Two still life colored size A3 of any medium

2. Two landscape colored any medium size A3

3. one composition any medium size A3

SUBJECT-HOMESCIENCE

1. Plan a balanced diet to self (only one meal).

2. Observe as how cleanliness is maintained in the kitchen of your house. Provide suggestions if

you find any after studying Home Science.

3. Prepare a report on any five mal practices you have observed in the market.

4. Undertake a market survey and collect five (5) food labels, analyze them and illustrate the

labels.

5. Remove common stains of curry, paint, ball pen ink, grease, lipstick, tea and coffee.

Page 3: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

6. Examine positive & negative qualities of one readymade and one tailor made garment.

7. Prepare a care label for a readymade garment according to its fabric and design.

8. Understand with your parents the need for saving. Discuss what saving options they have

chosen and why?

9. Discuss with any elderly member of family the importance of LIC

policy.

10.Notice everyday in your home that food served contains all the five food groups or not.

------------------------------------------------------

SUBJECT - LEGAL STUDIES

SUGGESTED TOPICS FOR PROJECT WORK

Prepare a detailed project in 15-20 pages on any of the given topics covering the following

aspects:

• Cover page with topic in bold letters, subject, name of the student, session and name of the

school.

• Acknowledgement with student’s signature

• Content with page number.

• Chapter wise description of project.

• Conclusion.

• Bibliography.

1. Scope of Judicial Reviewin India.

2. Judicial Activism: Role of judiciary in Indian democracy.

3. Criminal Justice Reform in India: Need of the Hour.

4. Criminal Justice Reforms in India: Mali math Committee Report and challenges

ahead.

NOTE: The project work must be supported by relevant data, pictures graphs. The project must

be handw

SUBJECT – POLITICAL SCIENCE

Page 4: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

SUGGESTED TOPICS FOR PROJECT WORK

Prepare a detailed project in 15-20 pages on any of the given topics covering the following

aspects:

• Cover page with topic in bold letters, subject, name of the student, session and name of the

school.

• Acknowledgement with student’s signature

• Content with page number.

• Chapter wise description of project.

• Conclusion.

• Bibliography.

1. UNFCCC:Paris Agreement, 2015:Way Ahead.

2. Impact of Globalization on Indian society and economy.

3. BREXIT: Future of European Union.

4. SAARC: Challenges and opportunities,

5. Peace and security in South Asia.

6. Need for reforms in UN.

7. Reorganization of states in India: Challenges and prospects.

8. Indian Foreign Policy: Future of NAM.

9. National Emergency in India,1975 :Impact on Indian democracy.

10. Regional Movement: Movement against outsiders in North East Region of India and its

impact on Indian democracy.

NOTE: The project work must be supported by relevant data, pictures graphs. The project must

be handwritten

SUBJECT – BIOLOGY

QUESTION BANK

Page 5: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

ENVIRONMNTAL ISSUES

19.What is noise pollution? List the harmful effects of noise pollution. How can we control it?

20. Write are the harmful effects of UV-B radiations?

21. With the help of flow chart explain bio magnification of DDT in an aquatic food chain. How

does it affect the bird population?

22. With the help of flow chart exhibit the events of eutrophication.

23. What is algal bloom?How does it affect water body?

Page 6: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

24.How dis Ahmad Khan ,plastic sack manufacturer solve the everincreasing problem of

accumulating plastic waste.

25. Write a short note on Arcata Waste water treatment plant. Name the group responsible for its

upkeep.

26. What is greenhouse effect?Name four greenhouse gases. What are the effects of global

warming?

27. What are the harmful effects of deforestation?

28.Write two ways for the disposal of e waste?

29. What are the various constituents of domestic sewage? Name four toxic compounds in

defunct ships?

30. What initiatives were taken for reducing vehicular air pollution in Delhi. Has Air quality

improved in Delhi?

31.Explain organic farming.Discuss the benefits of organic farming as a viable practice in the

context of developing nations like India.

32. What is hybrid vehicle technology? Explain its advantages with a suitable example?

Page 7: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

19.Why are conventional methods not suitable for the assessment of biodiversity of bacteria?

20. What makes the ecosystem stable?

A.The following characteristics make a community stable:

Page 8: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

Resistance to infrequent disturbances

Lesser variation in productivity from year to year

Impedance to invasions by alien species.

21.What is the significance of genetic variation in the Rauwolfiavomitoria plant?

22. What is a) Bioprospecting b) Endemism.

23. State how the current occurrence of species extinction is different from the earlier mass

extinction.

A.Species extinction in earlier times occurred due to natural calamities such as volcanic

eruptions, landslides, flood etc while in the present times, the cause of species extinction is

human activities.

24. How can the loss of one species lead to the extinction of another?

A.It can be explained via co-extinction, where extinction of two mutually interrelated species

takes place. For instance, the extinction of host fish causes the extinction of all parasites located

on it.

25.Define sacred groves. What is their role in the conservation of biodiversity?

26. How do scientists estimate /extrapolate the total number of species on earth?

27.In comparison to other animal groups, why are amphibians more vulnerable to extinction?

A. It is because of the following:

Habitat fragmentation

Habitat Destruction or Modification

Large scale climate change

28.What are the factors that determine a species as threatened?

A. The following criteria need to be used in categorizing a species as threatened:

Declination in the number of species at a distressing rate, Destruction and modification of their

habitat

Increasing activities of poachers

29. Explain with examples—latitudinal gradients.

Ans. The decrease in the species diversity from equator towards the poles is latitudinal gradient

in diversity. This can be justified by following examples:

(i) Colombia located near equator has nearly 1,400 species of birds, New York at 41 °N has 105

species and Greenland at 71 °N has 56 species only. India has 1,200 species.

(ii) Equador’s forest has upto 10 times more species than mid-west of USA for vascular plants.

30.Draw a curve to show species area relationship and answer the following based of the plot:

(i) Give the equation that describes the species-area relationship on a logarithmic scale?

(ii) What is the shape of curve for species richness and area for a wide variety of taxa?

(iii) What is the value of Z in a region and continent?

(iv) What does steeper slope of Z mean?

31. Can you think of a situation where we deliberately want to make a species extinct? How

would you justify it?

Ans. Human health, followed by health of plants and animals of economic use. The health of

human, plants and animal species is always in danger due to pathogens, and vectors, secondary

or primary hosts.

32Why and where was “The Earth Summit” held?

33.Define Biodiversity. Explain the different types of Biodiversity.

34. What does the term frugivorous mean?

Page 9: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

35.Out of the four causes for the loss of biodiversity (Habitat loss and fragmentation, alien

species invasion, over-exploitation and co-extinctions)?,which according to you is the major

cause for loss of biodiversity? Give reasons to support your answer.

36. Humans benefit from diversity of life. Give two examples.

37.What is the significance of the slope of regression in a species – area relationship?

The slope of regression (z) has a great significance in order to find a species-area relationship. It

gives an estimate of species richness of area. It is independent of taxonomical category or type of

area studied. It has been found that in smaller areas where the species-area relationship is

analyzed, the value of slopes of regression is similar regardless of the taxonomic group or the

region. However, when a similar analysis is done in larger areas, then the slope of regression is

much steeper.

38.How is biodiversity important for ecosystem functioning?

Ans.Biodiversity is important for ecosystem functioning because,

(1)It contributes to productivity.

(2)It cause more efficient recycling of energy and matter.

(3)It has many alternative pathways for survival under diverse conditions.

(4)Rich biodiversity provides alternatives available at each trophic level. All organisms are

linked in food chains and interact with their abiotic environment in such a way so as to keep the

natural cycles going and make the ecosystems self – sustaining units. Disappearance of any link

in a food chain will not affect the ecosystem as other alternatives are there.

39. Explain the ecosystem service. Write any four ecosystem services rendered by the

natural ecosystem. Are you in support or against imposing a charge on the service given by

the ecosystem?

40.Differentiate between insitu and exsitu conservation.

SUBJECT - Music

1. Introduction of Raga Shudha Sarang, Raga Bageshri, Raga Bhairav and Raga Malkouns

2. Introduction of Rupak Tala, Japh Tala and Tilwada Tala and Dhamar Tala with Bol

3. Composition of Raga Bhimplasi, Raga Bageshri, Raga Bhairav and Raga Malkouns

4. History of Sitar with Parts.

Note – These all topics should be covered and to be made in to a Lab Manual.

SUBJECT – ECONOMICS

Prepare a comprehensive project on any of the following topic:

Page 10: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

(Each student will present the work in the Project File)

• Introduction of topic/title

• Identifying the causes, consequences and/or remedies

• Various stakeholders and effect on each of them

• Advantages and disadvantages of situations or issues identified

• Short-term and long-term implications of economic strategies suggested in the course of

research

• Validity, reliability, appropriateness and relevance of data used for research work and

for presentation in the project file

• Presentation and writing that is succinct and coherent in project file

• Citation of the materials referred to, in the file in footnotes, resources section,

bibliography etc.

Suggestive List of Projects for Class XII

Class XII

Micro and Small Scale Industries Food Supply Channel in India

Contemporary Employment situation in India Disinvestment policy of the

government

Goods and Services Tax Act and its Impact on

GDP Health Expenditure (of any state)

Human Development Index Inclusive Growth Strategy

Self-help group Trends in Credit availability in India

Monetary policy committee and its functions Role of RBI in Control of Credit

Government Budget & its Components Trends in budgetary condition of India

Exchange Rate determination – Methods and

Techniques

Currency War – reasons and

repercussions

Livestock – Backbone of Rural India Alternate fuel – types and importance

SarwaSikshaAbhiyan – Cost Ratio Benefits Golden Quadrilateral- Cost ratio benefit

Minimum Support Prices Relation between Stock Price Index

and Economic Health of Nation

Waste Management in India – Need of the hour Minimum Wage Rate – approach and

Application

Digital India- Step towards the future Rain Water Harvesting – a solution to

water crises

Vertical Farming – an alternate way Silk Route- Revival of the past

Make in India – The way ahead Bumper Production- Boon or Bane for

the farmer

Rise of Concrete Jungle- Trend Analysis Organic Farming – Back to the Nature

Page 11: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

Any other newspaper article and its evaluation

on basis of economic principles Any other topic

SUBJECT - MATH

INVERSE TRIGONOMETRIC

1. Prove that : .2

cos2

1

4tancos

2

1

4tan 1111

a

b

b

a

b

a=

−+

+ −−−−

2. if ,coscos 11 =+ −−

b

y

a

xprove that .sincos

2 2

2

2

2

2

=+−b

y

ab

xy

a

x 3. Prove that :

.265

16sin

13

5sin

5

4sin 111

=

+

+

−−−

4. Find the value of : tan-1 (1) + cos-1 (-1/2) + sin-1 (-1/2).5. Prove : tan-1x + tan-1 2𝑥

1−𝑥2 = tan-1(3𝑥−𝑥3

1−3𝑥2)

, |x|<1

√36. Solve : tan-12x + tan-13x

4

7. Solve : sin -1 ( 1 – x) – 2sin-1x =

2 .8. Evaluate: tan-1√3 - sec-1 (-2) + cosec-1 2

√3

9. Prove : tan -1 {√1+cos 𝑥 + √1−cos 𝑥

√1+cos 𝑥−√1−cos 𝑥} =

4 +

𝑥

210. Simplify : sin-1(

sin 𝑥+cos 𝑥

√2) , −

4 < x <

4

11. Prove that : 2 tan-1(√𝑎−𝑏

𝑎+𝑏𝑡𝑎𝑛

2) = cos -1(

𝑎 cos +𝑏

𝑎+𝑏 cos )12. Find the principal value of Sec-1(−√2)

13. Find value of: sin [𝑡𝑎𝑛−1 1−𝑥2

2𝑥+ 𝑐𝑜𝑠−1 1−𝑥2

1+ 𝑥2].14. If 2 tan-1 (cos ) = tan-1 ( 2 cosec ), find

.15. Simplify cot -1[√𝟏+𝐬𝐢𝐧𝐱 + √ 𝟏−𝐬𝐢𝐧𝐱

√𝟏+𝐬𝐢𝐧𝐱−√ 𝟏−𝐬𝐢𝐧𝐱]

MATRIX AND DETERMINANTS

1. For what value of , the matrix ?cos sin

sin- cosI=

2. Given a matrix ija=A of order 33 whose elements are given by ,)2( 2

ji

ijaij

+

−= write the

element .32a

Page 12: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

3. For what value of N,k ?1 0

3- 4

k 4

3k =

4. If matrix ),,,( 321 ddddiagA = then, ),,,(1

31

21

11 −−−− = ddddiagA .State true or false.

5. Given ,6 1 4

1 2 3

−write its additive inverse.

6. If matrix 0 3 1 − , then find AA , where A is transpose of A.

7.If 32x3x

3 2x=

−−, find the integral values of x.

8.If A is invertible matrix of order 33 , then represent 1−A in terms of .A

9. Given

210

432

011

A

= and

512

424

422

B

−−

= verify that ,6IBA= use the result to solve

the system .z, yzyx, yx 72174323 =+=++=−

10. If cba ,, are positive and unequal , show that the value of the determinant

negative. is

b a c

a c b

c b a

Δ =

11. Using properties of determinants, Prove

3

22

22

22

)( cabcab

ab ab ab b a

ac cac ac a

bc bc c bbc

++=

−++

+−+

++−

12. 𝑢𝑠𝑖𝑛𝑔 𝑝𝑟𝑜𝑝𝑒𝑟𝑡𝑖𝑒𝑠 𝑜𝑓 𝑑𝑒𝑡𝑒𝑟𝑚𝑖𝑛𝑎𝑛𝑡𝑠, 𝑝𝑟𝑜𝑣𝑒 𝑡ℎ𝑎𝑡 |

(𝑥 + 𝑦)2 𝑧𝑥 𝑧𝑦

𝑧𝑥 (𝑧 + 𝑦)2 𝑥𝑦

𝑧𝑦 𝑥𝑦 (𝑧 + 𝑥)2

|=

2𝑥𝑦𝑧(𝑥 + 𝑦 + 𝑧)3.

13. If A = [1 0 20 2 12 0 3

] and 𝐴3 − 6𝐴2 + 7𝐴 + 𝑘𝐼3 = 𝑂, 𝑓𝑖𝑛𝑑𝑘.

14. Ifa,b andcareallnon-zeroand 0

c1 1 1

1 b1 1

1 1 a1

=

+

+

+

prove that 0111

1 =+++cba

15. To promote the making of toilets for women, an organization tried to generate awareness

through

(i) house calls (ii) letters (iii) announcements. The cost for each mode per attempt is given

below :

`40 (ii) `40 (iii) ` 40

The number of attempts made in the three villages X,Y and Z are given below:

(i) (ii) (iii)

X 400 300 100

Y 300 250 75

Z 500 400 150

Page 13: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

Find the total cost incurred by the organization for the three villages separately, using

matrices.Write one value generated by the organization in the society.

RELATIONS AND FUNCTIONS

1. Let baA ,= , how many onto functions are possible from A to A, write them.

2. Let * be a binary operation on N defined by baba =* and let o be a binary operation on N defined by

baaob += 3 . Find the value of (2*1)o2.

3. If RRf →: be defined as 1)( 3 −= xxf , find )(1 xf − and ).9(1 −−f

4. If 00: −→− RRf is given by ,3

)(x

xf = find ).(1 xf −

5. Show that the relation S on R , the set of real numbers, given by yxyxS = :),( is reflexive but

not symmetric.

6. Let * be a binary operation on the set A of rational numbers given by: .* ababa += If , 14&2 =x

,find x.

7. If RRf →: is given by 3

1

3)3()( xxf −= , find )].([ xff

8. Let 569f(x) 2 −+= xx be defined from R)[0, → .Prove that f is not invertible. Modify the codomain

only to make it invertible . Hence find its inverse.

9. Let ‘*’ be a binary operation defined on 𝑄 × 𝑄 by ( 𝑎, 𝑏) * (𝑐, 𝑑) = (𝑎𝑐, 𝑏 +𝑎𝑑), 𝑤ℎ𝑒𝑟𝑒𝑄𝑖𝑠𝑡ℎ𝑒𝑠𝑒𝑡𝑜𝑓𝑟𝑎𝑡𝑖𝑜𝑛𝑎𝑙𝑛𝑢𝑚𝑏𝑒𝑟𝑠. 𝐷𝑒𝑡𝑒𝑟𝑚𝑖𝑛𝑒, 𝑤ℎ𝑒𝑡ℎ𝑒𝑟‘ ∗’ is commutative and associative. Find the identity elements for ‘*’ and the invertible elements of

𝑄 × 𝑄.

10. If ,: WWf → be defined as even. is x if1,xf(x) and odd is x if1,xf(x) +=−= Show that f is invertible. Find

the inverse of f where W is the set of all whole numbers.

11. Let }3{−= RA and }1{−= RB . Consider the function BAf →: defined by .3

2)(

−=

x

xxf Show that f

is one-one and onto. Hence , find .1−f

12. Let NNA = and* be binary operation given by ).,(),(*),( dbcadcba ++= Show that * is

commutative and associative. Find Identity element of *

13. Showthatf:N N,givenby

+=

even is x 1,x

odd is x 1,xf(x) is bijective function.

14. LetA=Q×Q,whereQisthe setofallrationalnumbers,and*beabinaryoperationdefinedonAby

(a,b)* (c,d)= (ac,b+ ad),forall(a,b)(c,d) A.Find(i)the

identityelementinA.(ii)theinvertibleelementofA.

DERIVATIVES

1. Find the point where tangent to the curve xey 2= at the point (0,1) meets the x-axis.

2. If )sin( −= ax and )cos1( += ay , find the value of2

2

dx

yd , at 2

=

3. If 𝑦𝑥 = 𝑒𝑦−𝑥 , 𝑝𝑟𝑜𝑣𝑒𝑡ℎ𝑎𝑡𝑑𝑦

𝑑𝑥=

(1+𝑙𝑜𝑔𝑦)2

𝑙𝑜𝑔𝑦

Page 14: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

4. If 𝑥 = 𝑎𝑐𝑜𝑠3𝜃𝑎𝑛𝑑𝑦 = 𝑎𝑠𝑖𝑛3 𝜃 , 𝑓𝑖𝑛𝑑𝑡ℎ𝑒𝑣𝑎𝑙𝑢𝑒𝑜𝑓𝑑2𝑦

𝑑𝑥2 at 𝜃 =

𝜋

6 .

5. If 𝑥 = 𝑎𝑐𝑜𝑠3𝜃𝑎𝑛𝑑𝑦 = 𝑎𝑠𝑖𝑛3 𝜃 , 𝑓𝑖𝑛𝑑𝑡ℎ𝑒𝑣𝑎𝑙𝑢𝑒𝑜𝑓𝑑2𝑦

𝑑𝑥2 at 𝜃 =

𝜋

6 .

6. 𝑥√1 + 𝑦 + 𝑦√1 + 𝑥 = 0 and 𝑥 ≠ 𝑦, 𝑝𝑟𝑜𝑣𝑒𝑡ℎ𝑎𝑡𝑑𝑦

𝑑𝑥= −

1

(𝑥+1)2 .

7. Differentiate xax exa logloglog ++ w.r.t. x.

8. Finddx

dy, if

+= −

ax

axy

1tan 1

9. If .....sinsinsin +++= xxxy prove that .12

cos

−=

y

x

dx

dy

10. Differentiate

−++

−−+−

22

221

11

11tan

xx

xx with respect to .cos 21 x−

11. .

12. If 𝑦 = cot−1(√cos 𝑥) − tan−1(√cos 𝑥), prove that sin 𝑦 = (tan𝑥

2)

2

.

25. (i) ,111 22 =−+− yxxy prove that .1

12

2

x

y

dx

dy

−−=

26. 𝑥 = 𝑎𝑐𝑜𝑠3𝜃𝑎𝑛𝑑𝑦 = 𝑎𝑠𝑖𝑛3 𝜃 , 𝑓𝑖𝑛𝑑𝑡ℎ𝑒𝑣𝑎𝑙𝑢𝑒𝑜𝑓𝑑2𝑦

𝑑𝑥2at𝜃 =𝜋

6

27. If .dx

dy find ],x1xx1[xsiny 21 −−−= −

28. If .dx

dy find ],

1x1[tany

21

x

−+= − 29. If .

dx

dy find

41

2cosy

x

1x1

+=

+−

30.If .dx

dy find

361

3.2siny

x

1x1

−=

+−

x

31.If .dx

dy find ],x1x1[xsiny 4221 −−−= − x

32.If .x1

y1

y

x

dx

dy prove )y(xay1x1

6

6

2

233366

−=−=−+−

33. If dx

dy find ,

sinx1sinx1

sinx1sinx1coty 1

−−+

−++= − 34. If

dx

dy find ,

5

143cosy

21

−+= − xx

34. If .4

2

9

3

dx

dy that prove ],

6

5[tany

222222

1

xa

a

xa

a

xa

ax

++

+=

−= −

35. If .dx

dy find ],

2

1x1[siny 1 x−++

= −

36. If2

22

4

2

2 x

1xcosec...

4

xsec

2

1

2

xsec

2

1, that prove,

x

sinx.................

16

x.cos

8

x.cos

4

x.cos

2

xcos −=+

+

=

37.Ifx= sin2t(1+cos2t) and y= cos 2t(1–cos2t), then find dy/dx

38.Findthe derivative of the following function f(x)w.r.t.x,:xxx

xx

Page 15: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

=

−+

=

=

a find0,at x continuous is f(x) and 0 x when ,

4x16

x

0 x when a,

0 x when ,x

cosx1

46.f(x)

2

SUBJECT - GEOGRAPHY

Assignment

Creating a Student Atlas of your own.

The following maps have to be a part of your Atlas.These

maps are related to your chapters as well as Practical work

in Geography.

I. Distribution of Population-2011

II. Growth of Population(2001-2011)

III. India - Rice

IV. India - Wheat

V. India- Cotton and Jute.

VI. India - Sugarcane.

VII.India - Tea & Coffee

General Instructions:

1. Use Scrap Book.

2. Use Map Stencils.

Page 16: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

3. Your Atlas should reflect originality.

4. Regions and States to be highlighted and labelled properly.

Any further enquiry may be mailed to [email protected] clearly stating your enquiry

in the subject of mail.

SUBJECT - PSYCHOLOGY

1) All the students will prepare a case profile on different psychological disorders.

2) Students will prepare introduction of practical file.

3) Students will solve worksheet and textbook questions from chapter 4 (psychological

disorders).

SUBJECT -BUSINESS STUDIES

PROJECT WORK ( 2019-20)

1. Effect of Business Environment on Indian Soft Drink Industry.

List of Contents

1. Introduction

2. Participants of Indian Soft Drink Industry

3. Competitive Brands in the Industry

4. Effects of Various Elements of Business Environment

5. Conclusion of survey.

6. Graphic representation.

6. Conclusion of Project work.

Page 17: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

7. References

8. Questionnaire.

2. Impact of Changes in the Business Environment on Eating Habits in India

List of Contents.

1. Introduction.

2. Convenience Foods.

3. Eating Food Outside.

4. Tiffin Centers/Food Joints.

5. Reasons for Changing Habits.

6. Impact of Business Environment.

7. Ordering the food on line/through app.

8. Impact of Business Environment.

9. Some Rising Concerns.

10. Conclusion of Survey.

11. Graphic representation.

12. Conclusion of Project work.

13. References.

14. Questionnaire.

3. Application of Henri Fayol’s Principles of Management in any Product producing Company/

Firm. Or Service providing Company/ Firm.

List of Contents.

1. Henri Fayol- An Introduction.

2. Principles of General Management.

Page 18: CLASS XII SUBJECT ENGLISH INSTRUCTIONS · Explanation and analysis of the poem Message & theme of poem Literary devices used in the poem Speech on “Save Water” Q3. Roll no. 11

3. Profile and Background of the Company/Firm.

4. Your Experience and Observation in the Company/Firm.

5. Application of Principles of Management in the Company/Firm.

6. Conclusion of Survey.

7. Graphic representation.

8. Conclusion of Project work.

9. References.

10. Questionnaire.

NOTE: SELECT ANY ONE PROJECT WORK ACCORDING YOU’RE CONVINCEFROM

ABOVE, CONDUCT THE SURVEY WITH REFERENCE TO YOUR PROJECT. ALSO

COLLECT THE PHOTOGRAPHS/DIAGRAMS RELATING TO THE CONCERN AND

PROJECT RELETED.