HOLIDAY ASSIGNMENT (2019-2020)

CLASS – XII A

PHYSICAL EDUCATION

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ENGLISH

1. On the occasion of Vana Mahotsava Day , the Environment Club of Greenfield Public

School , Gandhinagar is organizing a Tree Plantation Drive.As the Secretary of the

Club , draft a notice in about 50 words to

Announce the drive and give details like date , time , venue and occasion

Invite all the students to participate in it

Mention different activities that will be undertaken as part of the drive

2. International Tobacco Control Programme is an organization that is working

worldwide to spread awareness about the hazards of tobacco use. Create a poster

for the organization highlighting the harmful effects of smoking and tobacco

consumption in other forms. Include a helpline number for quitting tobacco and a

website address for more information on quitting smoking / tobacco.

3. A poor accident victim needs financial help for surgery. As the President of a charity

organization that arranges financial help for such parents, draft a classified

advertisement to raise funds for the patient.

In your advertisement you should say

What the patient’s gender , age and financial conditions are

What kind of surgery he/ she needs and its total cost

How much money is needed and how donations can be made

What the organization’s name and contact details are

4. Reckless driving on highways turns roads into death traps for pedestrians and

motorists alike. Write an article in about 200 words on the topic “Reckless Driving

Thrills But Kills.”

In your article you should

Give some examples of accidents on highways to prove they are not safe.

Discuss the causes and consequences of such accidents

Suggest some effective ways to ensure safety on highways.

5. Too much television is bad for children. Unfortunately, parents find it very hard to

wean their children away from the idiot box. Write an article for a local newspaper

to:

Discuss the hazards of viewing too much TV

Explain why it is difficult to wean children away from TV

Suggest what should be done to restrict TV viewing among children

6. The sports incharge of your school has asked you to make a speech on the value of

games and sports in life in the morning assembly. Draft a speech in about 200 words

in which you should:

Highlight the importance of games and sports as natural instinct of Man

List the benefits of games and sports

Urge young people to practice some sport or the other

7. In recent times there has been a sudden proliferation of tuition and coaching

centres.Are they relevant and useful? Are they a blot on our education system? What

are your views? Draft a speech in about 200 words to ;

Highlight the hardships students have to bear on account of tuitions

Discuss the causes of mushrooming f tuition and coaching centres

Suggest what should be done to curb this menace

8. Due to poor maintenance of the existing system of water supply, the common people

of your city have been hit hard .Write a letter to the Municipal Commissioner of your

City for a permanent solution to this problem. You are Ashutosh Rana, resident of

7/23, Kunal Apartments, Delhi.

In your letter you should:

Introduce yourself and raise the issue of erratic water supply in the city

Describe how much the common and poor people have to suffer due to shortage

of water , while the rich and powerful enjoy unrestricted supply

Suggest some practical steps needed to effectively tackle the problem

Wind up with the hope that the problem will be resolved at the earliest

9. Write a summary of Silas Marner

10. Solve the Mid Term Question paper and all the class tests questions.

All work to be done on A4 sheets and filed. The work should be submitted on the

1st Day of the reopening Day.

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INFORMATICS PRACTICES

SECTION: A

Completion of Practical file

Completion of Project on given topic

SECTION: B

Answer the following questions:

I. (a) What is event driven programming?

(b) Name the method to set the value of jTextField.

(c) What is the difference between '=' and '==' operator?

(d) Give the name of the ternary operator.

(e) Write Java code that takes value for side of a square in jTextField1 and calculate

area of it to be displayed in jTextField2

(f) A worker_Id consisting of 4 digits is stored in a string variable StrWrkId. Now Mr.

Jai Wants to store this Id in integer type of variable IntwrkId. Write a Java statement

to do this

(g)Define a variable. How can you declare a variable?

II. (a)What is the effect of absence of break in switch statement?

(b)What is exit control loop?

(c) Use an if statement to compare the value of an integer called sum against the

value 65 and if it is less, print the text string "sorry, try again"

(d) Rewrite the following program code using a switch statement.

If(code==1)

Month = 'January';

Else if(code==2)

Month = 'February';

Else if (code==3)

Month='March';

Else if(code==4)

Month='April';

Else

Month='no match';

(e) The following code has some error(s).Rewrite the correct code underlining all the

corrections made.

Int k=2;sum=0;

{

Sum =k;

K+=3;

}

While(k<=20)

jTextField1(Integer.toString(sum));

(f)What will be the values of variables 'm' and 'n' after the execution of the following

code?

Int m,n=0;

For(m=1;m<=4;m++)

{

n+=m;

n--;

}

(g) Ms. Neelam works as a programmer in “Kidz Entertainment Zone”. She has

designed a Registration Page to calculate the total fee of summer camp depending upon

the number of activities selected by the user considering age eligibility as well. A screenshot

of the same is shown below

Help her in writing the code to do the following:

i. After entering the age in the specified text field, when „Chk Eligibility‟button is

clicked, a dialogue box should be displayed with a message “Welcome” if age is in

between 3-13 years else the program should be terminated after displaying the

message “Sorry! You are either underage or overage!!”.

ii. After selecting the desirable activities, total fee should be displayed in the specified

text field on the click of “Proceed” button at the rate of Rs. 1000 per activity.

iii. A discount of 20% is applicable if more than one activity is chosen by the user.

iv. After clicking on the “Net Fee” button, Net Fee should be calculated and displayed in

the respective text field as per the given formula:

NetFee = Fee – Discount

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BUSINESS STUDIES

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ACCOUNTING PROJECT FILE SUBJECT

You have to set up a new venture. The performance is to be compared with the

industry standard. Before they are compared it is necessary to write up the books of

account, draw trial balance, and prepare financial statements ie., profit and loss account

and balance sheet . Thereafter various ratios shall be computed to compare them with

industry standards.

The project can contain simple GST calculations.

CT CODE 030ECONOMICS HOME WORK SUBJE

Mode of presentation / submissin of the project : The student is required to present the

research work in the project file to the teacher. The Study submitted by the student should

be his /her own original work . Incase of doubt authenticity will be checked and verified.

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MATHEMATICS

Complete the following Sums:

Relations and Functions

1. Let f: RR be defined as f(x) = 10x + 7. Find the function g: R R such that gof = fog

= IR

2. Let f: W W be defined as f(n) = n – 1, if n is odd and f(n) = n + 1, if n is even. Show

that f is invertible. Find the inverse of f. Here, W is the set of all whole numbers.

3. Show that the function f:R{ x R: -1 < x < 1} defined by f(x) = , x R is one-one

and onto function.

4. Show that the function f : R R given by f(x) = x3 is injective.

5. Give an example of two functions f: NN and g: N N such that gof is onto but f is

not onto.

6. Given a non-empty set X. Consider P(X), which is the set of all subset of X. Defined

the relation R in P(x) as follows: For subsets A and B in P(X), ARB if and only if A B. Is

R an equivalence relation on P(X)? Justify your answer.

7. Find the number of all onto functions from the set {1,2,3...n} to itself.

8. Let S = {a,b,c} and T = { 1,2,3}. Find F-1 of the following functions F from S to T, if it

exists.

i) F = { (a,3), (b,2), (c,1)} ii) F = {(a,2), (b,1),(c,1)}

9. Let A = { -1, 0 , 1, 2}, B = { -4, -2, 0 ,2 } and f, g : A B be the function defined by f(x) =

x2 – x, x A, and g(x) = 2 -1, x A. Are f and g equal? Justify your answer.

HAVE A WONDERFUL VACCATION AND ENJOY YOUR

HOLIDAYS

HAPPY HOLIDAYS TO EACH ONE OF YOU

10. Functions f, g : R R are defined respectively, by f(x) = x2 +3x + 1, g(x) = 2x – 3, find

i) Fog ii) gof iii) fof iv) gog

Inverse Trigonometric Functions

Prove the following Functions

1. cos -1 + cos -1 = cos -1

2. sin -1 + sin -1 = tan -1

3. cos -1 + sin -1 = sin -1

4. tan -1 = sin -1 + cos -1

5. tan -1 + tan -1 + tan -1 + tan -1 =

6. cot -1 = , x

7. tan -1 = - cos -1x

8. - sin -1 = sin -1

9. tan -1 = = tan -1x, (x>0)

10. Find the value of tan -1 + cos -1

Continuity and Differentiability

Differentiate given problems w.r.t. x

1. , -2 < x < 2.

2.

3. x +xa + ax + aa , for some fixed a > 0 and x > 0.

4. + , for x>3.

5. Find , if y = sin -1x + sin -1 , -1 x 1.

6. If ( x – a)2+ (y –b)2 = c2 , for some c > 0, prove that is a constant independent

of a and b.

7. Using mathematical induction prove that = n x n-1 for all positive integers n.

8. Does there exist a function which is continuous every where but not differentiable at

exactly two points ? justify your answer.

9. If x = a ( cost + t sint) and y = a ( sin t – t cos t), find . mention the domain in which

it is valid.

10.

APPLICATION OF DERIVATIVES

1. The two equal sides of an isosceles triangle with fixed base b are decreasing at the

rate of 3 cm/s. How fast is the area decreasing when the two equal sides are equal to

the base?

2. Find the equation of the normal to the curve y2 = 4x at the point (1,2).

3. Show that the normal at any point to the curve x = a cos + a sin , y = a sin - a

cos is at a constant distance from the origin.

4. Find the maximum area of an isosceles triangle inscribed in the ellipse + = 1, with

its vertex at one end of the major axis.

5. A tank with rectangular base and rectangular sides, open at the top is to be

constructed so that its depth is 2 m and volume is 8 m3. If building of tank costs Rs.

70 per sq metre for the base and Rs. 45 per sq metre for sides. What is the cost of

least expensive tank?

6. Fin the points at which the function f given by f(x) = (x -2)4(x+1)3 has

a) Local maxima b) local minima iii) point of inflexion

7. Find the absolute maximum and minimum values of the function f given by f(x) =

cos2x + sin x, x [0, ].

8. Show that the altitude of the right circular cone of maximum volume that can be

inscribed in a sphere of radius r is .

9. A window is in the form of a rectangle surmounted by a semi-circle opening. The

perimeter of the window is 10 m. Find the dimension of the window to admit

maximum light through the whole opening.

10. Show that the function given by f(x) = has maximum at x = e.

VECTOR ALGEBRA

1. Find a vector of magnitude 5 units and parallel to the resultant of the vectors a = 2 +

2 - and b = - 2 +

2. Show that the points A(1,-2, -8), B (5, 0, -2) and C (11, 3, 7) are collinear and find the

ratio in which B divides AC.

3. The two adjacent sides of a parallelogram are 2 - 4 + 5 and - 2 - 3 . Find the unit

vector parallel to its diagonal. Also, find its area.

4. If a, b, c are mutually perpendicular vectors of equal magnitudes, show that the

vector (a + b +c) is equally inclined to a, b and c.

5. Prove that (a+b). (a + b)= |a|2 + |b|2, if and only if a, b are perpendicular, given a 0,

b 0.

6. The scalar product of the vector + + with a unit vector along the sum of vectors 2

+ 4 -5 and + 2 +3 is equal to one. Find the value of λ

7. Let a = + 4 +2 , b =3 - 2 +7 and c =2 - +4 . Find a vector d which is

perpendicular to both a and b and c . d = 15.

8. Find the position vector of point R which divides the line joining two points P(2a + b)

and Q(a - 3b) externally in the ratio 1: 2. Also, show that P is the middle point of the

line segment RQ.

9. If a = b + c, then is it true that |a|= |b| + |c| ? justify your answer.

10. A girl walks 4 km towards west then, she walks 3 km in a direction 30 east of north

and stops. Determine the girl’s displacement from her initial point of departure.

ACTIVITIES

Complete the following Activities:

1. Activity 4

2. Activity 9

3. Activity 11

4. Activity 14

Note: Study all the Exemplar and Exercise sums of all the chapters that are covered.

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GENERAL STUDIES

The following project has to be done by the respective group of students as group activity.

All the content of the topic has to be covered in the project. Hand written document and

respective presentation (Power point presentation, model, role play, skit, etc.,) has to be

submitted during first week of September.

GROUP 1: SCIENCE AND SOCIETY

Content

1. The Nature of Science

Different aspects of Science, viz. the content, process and attitude

The language of Science- facts, hypothesis, theories and laws

2. Science as a social enterprise

The manner in which modern Science and technology shape modern culture,

values, and institutions on one hand and how modern values shape Science and

technology on the other

The progress of Science- major landmarks in the history of Science in India

3. The Scientific spirit

Scientific attitude

Dispelling superstitions and myths

The students may:

1. Do a small project, where they identify a problem, frame hypothesis, gather data and

analyze it to test the hypothesis.

2. Organize a debate for the whole class on ‘Science - a boon or bane’.

3. Identify given set of statements as facts, laws and hypothesis.

GROUP 2: CONTEMPORARY PROBLEM OF INDIAN SOCIETY

1. Poverty

Meaning, genesis and broad measures to alleviate it

Nature of poverty in rural and urban India

2. Illiteracy

Causes and consequences

Measures to eradicate illiteracy

3. Unemployment

Nature and extent of unemployment

Ameliorative measures to reduce unemployment - Vocational education, skill

based education

4. Social Inequalities

Kinds

Implications

The way forward

5. Population and health

declining sex ratio

infant mortality

malnutrition

obesity and other lifestyle diseases

The students may:

1. Make group presentations (collage, charts, posters) on the contemporary problems of

Indian society by using only newspaper clippings as a resource.

2. Conduct a small survey on status of literacy/employment/income in their locality.

3. Contribute towards solving social problems such as illiteracy. Students may volunteer to

teach one illiterate person in their locality.

GROUP 3: CULTURAL HERITAGE OF INDIA

Content

1. The historical framework of India’s heritage and culture

2. Evolution of Indian culture

Historical background- from the Indus Valley civilization to the British period and

Indian renaissance

Shaping of Indian ethos and syncretism

3. The cultural heritage of India

Performing arts- dance, music, theatre etc.

Language and literature

Crafts

Paintings

Architecture

Cuisines

Textiles

The students may:

1. Read and discuss excerpts from various world literature with universal messages, writings

of poets (such as Kabir), philosophers, prophets, historians of the renaissance period such

as Raja Ram Mohan Roy, Vivekananda, etc.

2. Effectively use paintings, short films and other material developed by the Centre for

Cultural Resources and Training (CCRT) to appreciate the arts, crafts and architecture of

India.

3. Develop resource files on Sufi saints of Kashmir/Delhi/Rajasthan etc. Poets/saints of the

Bhakti period. Mughal influence on Indian architecture. Relevance of the teachings of Kabir/

Thiruvalluvar in today’s Indian society.

4. Practice meditation, ‘pranayam’ and ‘yogasana’ for health benefits and better

understanding of Indian culture.

GROUP 4: INDIA’S FREEDOM STRUGGLE

1. The first war of independence-1957

2. Indian freedom struggle

the moderates

the radicals

the revolutionaries

3. The contribution of leaders

4. Nurturing freedom and democracy

The students may:

1. Participate in a field trip to a place of historical importance.

2. Watch a movie based on India’s freedom struggle and submit a review.

3. Read about the history of India’s freedom struggle and submit an article about events or

personalities that impress them.

4. Work in groups of 5-7 and conduct a quiz for the class about India’s freedom struggle.

5. Present the life history of Indian freedom fighters through a short role play/skit.

GROUP 5: CONSTITUTIONAL VALUE

Content

1. Preamble to the Indian Constitution (understanding the spirit of the Constitution):

Justice: Social, economic and political

Liberty of thought, expression, belief, faith and worship

Equality of status and of opportunity

Fraternity, the dignity of individual and the unity and integrity of the Nation

Secularism

2. Key features of the Constitution of India

Fundamental Rights, Directive Principles of State Policy and Fundamental Duties

Citizenship

Organs of Government

Federalism

3. Some legal provisions (relevant to children)

The students may:

1. Work in groups of 5-7 and develop a code of conduct which may relate to one of the

Fundamental Duties.

2. Work in groups of 5-7 and come to consensus on an area of interest after discussion

among themselves. They may then display their ideas/views on display boards in the

form of comic strips, pictures, cartoons, slogans, etc. This action well help cover the

themes of the unit and showcase the students’ concerns.

3. Prepare biographies of the makers of the Constitution.

4. Read excerpts from the Constitution of India. For this purpose, the teacher may

arrange a copy for the students.

5. Read the Preamble to the Constitution of India and highlight the values reflected in it.

They may then present a play to showcase these values.

GROUP 6: HUMAN RIGHTS

1. Human rights:

Historical perspective

The philosophical foundations of human rights

The United Nation’s declaration of human rights

Civil and political rights

Economic, social and cultural rights

Human rights of vulnerable groups

Human rights: Violation and remedies

Gender equality

The students may:

1. Read articles related to human rights, for example, United Nation’s Universal Declaration

of Human Rights and discuss them in class.

2. Observe their surroundings for any human rights violation. They may share the case with

the class and also suggest ways to deal with such violation.

3. Form an anti-bullying/anti-ragging group in school to ensure that no violation of

students’ rights take place.

4. Read the literature of different cultures and identify the common message of humanity

as envisaged through the provisions of human rights.

5. Prepare short investigatory projects based on current events as reported in the press and

identify:

Who is the victim?

Who has violated his/her human rights?

Which right has been violated?

What is the abuse committed?

How was the victim protected?

The project may be shared with the class.

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ECONOMICS

SUGGESTED TOPICS FOR ECONOMICS

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