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D.A.V. Public School,Ballabhgarh Holidays Homework Session- 2016-17

Class – X Subject-English

1 Revise the literature reader and learn the textual questions.

2- Attempt the assignment given below on Value Based Questions :

1.The exemplary story of two boys who sacrificed their own wishes to fulfil their

sister’s dream presents a hope for the society. Comment.

2.What values do the two boys have that the writer calls them two gentlemen ?

3.Cunning people have their own ways to exploit the innocent ones. How should

we be careful of such people ? Refer to the poem Frog and the Nightingale

4. Drama The Dear Departed teaches the values forgotten by the modern society.

What are those values ?

2 Project work Activities -1 Project on Health & Medicine -Wall Magazine Activities -2 Powerpoint presentation on grammar areas- Tenses –Present Tense Roll No. 1-10 , Past Tense -11-20, Future Tense – 21-30 , Reported Speech-. 31-40, Verbs -41 onwards 3 - Practise Reading Section based on MCB UNITS- Health & Medicine , Education 4 - Practise Reading Section 1-10 from the BBC

SUBJECT: MATHS

1) Make a (hand written) project report on any of the following topics : • Search 10 mathematical symbols. Collect information about their origin,

meaning and their use in different areas of mathematics • Mathematical Principles in the World of Art. • Five different methods to prove Pythagoras theorem . Five applications

of Pythagoras theorem in real life General layout of the project report should have the following format:

Page Number Content

Cover Page Name of the student, Title of the

project

1 Index(or table of content)

3 _10(may change) Procedure(with pictures)

11 Mathematics used/involved

13 List of resources

14 Acknowledgement

2) Do the given assignment of Ch-1, 2 and 3 .

MATHS-ASSIGNMENT

Chapter-1. Real Numbers

Q-1. Find the largest positive integer that will divide 398, 436 and 542 leaving

reminders 7, 11 and 15 respectively.

Q-2. Find the largest number of 6-digits exactly divisible by 24, 15 and 36.

Q-3. If the HCF of 210 and 55 is expressible in the form210 X 5 + 55y, find the

value of y.

Q-4. Find the least number which is divisible by all the numbers between 1 and 10

(both inclusive).

Q-5. Find the HCF of 81 and 237 and express it as a linear equation of 81 and 237

for some x and y.

Q-6. Show that any positive add integer is of the form 6 q + 1, 6q + 3 or 6q + 5

where q is same integer.

Q-7. For any positive integer n, prove that n 3 – n is divisible by 6.

Q-8. A mason has to fit a bathroom with square marble tiles of the largest

possible size. The size of the bathroom is 10 ft. by 8 ft. What would be the size in

inches of the tile required that has to be cut and how many such tiles are

required?

Q-9. In a seminar on the topic “Liberty and Equality” the number of participants in

Social Science and English are 60, 84 and 108 respectively.

(i) Find the minimum number of rooms required if in each room the same number

of persons are seated and all of them being in the same subject.

Q-10. Three sets of English, Hindi and Sociology books dealing with cleanliness

have to be stacked in such a way that all books are stored topic wise and the

height of each stack is same. The number of English books is 96, the number of

Hindi books is 240 and the number of sociology books is 336. Assuming the books

are of the same thickness, determine the number of stocks of English, Hindi and

Sociology books.

Ch-2 Polynomials

Q11 Find the zeroes of the polynomial g(x) = x 2 - ( 3 √ 3 + 1) x + √3 and verify

the relationship between zeroes and the coefficients.

Q12 Find the zeroes of the polynomial g(x) = a( x 2 + 1) - x (a

2 + 1) and verify

the relationship between zeroes and the coefficients.

Q13 Find the condition which must be satisfied by the coefficients of the

polynomial f(x) = x 3 – px

2 + q x –r when the sum of its two zeroes is zero.

Q14 By applying division algorithm prove that the polynomial g(x) = x 2

+ 3x+ 1 is

a factor of the polynomial f(x) = 3 x 4 + 5 x

3 - 7 x

2 + 7 x + 2 .

Q15 what must be subtracted from 8 x 4 + 14 x

3 - 2 x

2 + 7x -8 so that the

resulting polynomial is exactly divisible by 4x 2 - 3x +2 ?

Q16 If the polynomial 6x 4 + 8x

3 +17 x

2 +21 x + 7 is divided by another

polynomial 3x 2 + 4x + 1 , the remainder comes out to be ax + b. Find a and b.

Q17 If α and β are the zeros of the polynomial x2 +5x + m, and α2 + β2 = 11 find m. Q18. If the zeros of the polynomial x

2 +px+ q are double in value to the zeros of 2x

2

-5x- 3, find the value of p and q.

Chapter-3. Pair of Linear Equations in two variables.

Q-19. Find the values of x and y for which the following pair of linear equations

has infinitely number of solutions :-

2x –y+8 = 0,4x-ky+16=0

Q-20. For what value of p will the following system of equations have no solution

(2p – 1)x + (p – 1)y = 2p + 1

y + 3x – 1 = 0

Q-21. Solve the following for x and y :-

(a) (a – b)x + (a+b)y = 2(a2 – b2)

(a+b)x – (a-b)y = 4ab

Q22 Solve the following for x and y :-

(a-b) = 0

a 2 bx + a

2 by = a

2 + b

2

Q-23. Determine graphically the vertices of a triangle whose sides are :-

2x = y – 3, x + y = 3, y = 5

Q-24. Draw the graphs of the following equations on the same graph paper.

2x + 3y = 12, x – y – 1 = 0

Find the coordinates of the vertices of the triangle formed by the two lines

and y-axis.

Q-25. The ratio of incomes of two persons is 9:7 and the ratio of their

expenditures is 4:3. If each of then saves Rs. 200 per month, find the monthly

incomes.

Q-26. A railway half tickets costs half the full face and the reservation charge is

same on half tickets as on full ticket. One reserved first class ticket from Mumbai

to Pune costs Rs. 216 and one full and half reserved first class tickets cost Rs. 327.

What is the basic first class fare and what is the reservation charge?

Q-27. . A honest person invested some amount at the rate of 12% simple interest

and some other amount at the rate of 10% simple interest. He received yearly

interest of Rs. 130. But if he had interchanged the amounts invested, he would

have received Rs. 4 more as interest. How much amount did he invest at different

rates?

Q28 The perimeter of a rectangle is 44cm. its length exceeds twice its breadth by

4 cm. Find the length and breadth of the rectangle.

Q-29. Draw the graphs of the following equations :-

2x – 3y + 6 = 0, 2x + 3y – 8 = 0, Y – 2 = 0

Find the vertices of the triangle so obtained. Also find the area of the

triangle.

Q-30. A honest person invested some amount at the rate of 12% simple interest

and some other amount at the rate of 10% simple interest. He received yearly

interest of Rs. 130. But if he had interchanged the amounts invested, he would

have received Rs. 4 more as interest.

How much amount did he invest at different rates?

Subject : G. Science Instructions:- Do the given assignments in your respective fair note books. Do the given projects neatly in separate project files. Assignments and Projects are part of Formative Assessment activity. Physics Prepare a hand written project report on ‘Alternative method of generating Electricity’ . Chemistry Prepare a hand written project report on ‘Types of Chemical Reaction’. Biology Prepare a project report on ‘Heart Diseases’ and following aspects should be covered : (1) Cover page (2) Names of three common heart diseases. (3) Causes, prevention and cure of these diseases. Physics Assignment : UT -1 (Electricity) Q-1. We have a copper wire of resistance R. This wire is pulled so that its length is doubled (temperature

remains constant). Find the new resistance of the wire in terms of its original resistance. 2 Q-2. Why does resistance of metallic conductor increase with increase in temperature? 2 Q-3. Calculate the resistance between A and B in the following networks :-

Q-4. Differentiate between electrical resistance and specific resistance(resistivity) of a conductor. 2 Q-5. What is Ammeter? Why should it have low resistance? Q-6. Two bulbs marked 6 W, 220V and 100W, 220 V are connected in parallel to 220V mains. Which

one of two will glow brighter? 3

Q-7. Four resistances 2 ohm of each are joined end to end to form a square ABCD. Calculate the

equivalent