KALKA PUBLIC SCH OOL

(A UNIT OF KALKA GROUP OF INSTITUTIONS)

ALAKNANDA, NEW DELHI

SUMMER HOLIDAY HOMEWORK

SESSION: 2017– 2018

CLASS – X

ENGLISH

Q1-Read Long Reading Text-THE STORY OF MY LIFE-BY HELEN KELER ( CHAPTERS 4-8)and write answers to any two questions from each chapter :1 character sketch & 1 situation. Q2-Complete INTEGRATED GRAMMAR PRACTICE- 2,3,4 From Work Book. Paste Work sheet in Note book. Q3-Design a creative Brochure on DELHI or KASHMIR

HINDI

MATHS GENERAL INSTRUCTIONS: * DO ALL THE QUESTIONS NEATLY IN THE MATHS NOTEBOOK * DO THE PROJECT IN THE PROJECT FILE Solve the following questions:

1 Show that square of any positive integer is of the form 3q or 3q + 1, for some integer q. 2 Is 7 x 11 x 13 + 11 a composite number? Justify your answer. 3 Prove that √3 is an irrational number. 4 Prove that 2-3√2 is irrational. 5 Examine whether (5+√2)2 is rational or irrational. 6 Divide x4 +1 by x + 1 and verify division algorithm. 7 If α and β are the zeroes of the quadratic polynomial f(x) =x2 – x + 4,

Find the value of α 4+ β4 . 8 Obtain all the zeroes of the polynomial:

a) x4 – 3x3 – x2 + 9x -6 if two of its zeroes √3 and -√3 b) 2x4 – 6x3 + 3x2 + 3x - 2 if two of its zeroes are √1/2 and -√1/2 c) 2x3+5x2-28x-15 if one of its zeroes is 3.

9.a) If the sum of the zeroes of the polynonimal kx2+2x+3k is equal to their product, find the value of k.

b) If one of the zeroes of the polynomial f(x)=4x2-8kx-9 is negative of the other, find the value of k. c) For what value of k, the polynomial x4-3x3+7x2-8x+k is exactly divisible by x2-x+3? 10.a) For what value of k will the the pair of equation kx+3y=k-3;12x+ky=k have no solution? b) For which value of a and b will the pairs of linear equation have infinitely many solution?x+2y=1; (a-b)x+(a+b)y=a+b-2 c)For which value of a and b the pairs have infinetly many solution? x + 2y =1; (a-b)x + (a+b) y = a-b-2

11. The age of the father is twice the sum of the ages of his two children.After 20 years his age will be equal to the sum of the ages of his children .Find the age of the father. 12. A motorboat can travel 30 km upstream and 28km downstream in 7 hours. It can travel 21km upstream and return in 5 hours. Find the speed of the boat in still water and the speed of the stream.

13. Graphically solve the following pair of equations : 2x + y = 6 2x – y + 2 = 0 Find the ratio of the areas of the two triangle formed by the lines representing these equations with x axis and y axis. 14. Determine graphically the vertices of the triangle formed by the lines y = x , 3y = x , x + y = 8 15. Find the value of x and y 43x + 67y = -24 ; 67x + 43y =24 16.Solve the following pairs of linear equation: 5x +3y =35 ; 2x +4y =28 a)by substitution method b)by elimination method c)by cross multiplication method. 17. What type of line do the following pair represent 5x+3y=2; 4x-3y=9 18.Are the pairs of equations consistent: -3x-6y= 5 , 4x+5y=6 19.If A(-5,7),B(-4,-5).C(-1,-6 )and D(4,5)are the vertices of a quadrilateral ,find the area of quadrilateral ABCD. 20..For what value of p, are the points (–3, 9), (2, p) and (4, –5) collinear?

21.Find the area of triangle whose vertices are (1,-1),(-4,6),and(-3,-5). 22. Find the relation between x and y such that the point (x, y) is equidistant from the points (7, 1) and (3, 5). 23.If A (–3, 2) B (x, y) and C (1, 4) are the vertices of an isosceles triangle with AB = BC. Find the value of (2x + y). 24.In what ratio does the point (-4,6)divide the line segment joining the points A(-6,10) and B(3,-8) ?

25. If the points (x, y), (–5, –2) and (3, –5) are collinear, prove that 3x + 8y+ 31 = 0.

PROJECT (any one of the following) 1. History of Mathematicians and mathematics.

2. Pythagoras Theorem and its Geometrical Proof (By different methods)

ACTIVITY : To obtain the conditions for consistency of system of linear equations in two variables.

SCIENCE

CHEMISTRY

PHYSICS 1. Make a working model on electric model. 2. Do the following questions:

BIOLOGY

SOCIAL SCIENCE

F.I.T Q1. Submit the synopsis of your Project (Website) on any topic for the board examination. Website Designing Topics: (Select any one)

1. Personal Blog with Name, Photo, Areas of Interest, School, State, Country. 2. School Website – Infrastructure, Facilities, Uniform, Motto, School Pictures, Extra-Curricular

Activities, Subject and Language Options. 3. Travel and Tourism 4. Statistics on Indian – State wise Area, Population, Literacy (Enrolment in Primary, Middle,

Secondary, Senior Secondary), Gender Ratio 5. Environment (save Energy) and Pollution (Global Warming)

Guidelines for Synopsis: a) Language: HTML b) Project Report must have a Title page, Acknowledgement page, Index page and Bibliography

page. c) Project Report should be prepared in any Word processor (MS Word) software. d) Project Report must have Header and Footer. Name of the Project topic should reflect in Header

and Page number should be in footer. Q. 2. Answer the following in your notebook:

i. When was ISOC founded? ii. Which type of video conferencing allows to communicate in a virtual meeting environment? iii. Give the full form of PSTN and SMTP? iv. Which type of FTP server allows the guest users to download its available resources? v. Name the online chatting software provided by Yahoo and Google. vi. What do you mean by real time communication? vii. Why does broadband connection offer better data transfer speed as compared to Dial-up

connection while using internet services. viii. Online transactions involving transfer of money are not considered very safe. Why? What

could be the possible precautions needed while undergoing any such transaction on the internet?

ix. Can video conferencing be conducted without a webcam? If not, why? x. How does search engine handle the user given keywords to display the list of URLs

containing information on the required topic?

SANSKRIT