INDRAPRASTHA CONVENT SR.SEC.SCHOOL
English
Holiday Homework
Class X
.. In your file attempt the questions being given to you.
Q -1 write about any real life incident in whichyou /your close acquaintance
out smarted a thief / dishonest person .
Q -2 write any incident from RAMAYANA / MAHABHARAT in your own
words and relate a moral value.
Q -3 Look , around ,for five problems in your city and write five letters to
the editor regarding your problem .
Q -4 Read 14 chapter of novel and write summary of the chapter.
SUBJECT : SOCIAL SCIENCE
Prepare a project file with following details:
PROJECT ON EARTHQUAKE: *
PREPARE A CASE STUDY OF EARTHQUAKE IN NEPAL.
`highlighting the main factors of : *preparedness *relief
*rehabilitation *mitigation *planning (NOTE= pictures from
newspaper not from “Internet.
 REVISE ALL LESSONS OF FA-1 course
---
MATHEMATICS
CLASS X
(A) PROJECT:
2. Make an illustrative project file which includes the following:
– 20]
(i)
Introduction to Pythagoras Theorem
(ii)
2 different methods to prove Pythagoras Theorem
(iii)
5 examples of application of Pythagoras Theorem in real life.
3. Make an illustrative project file on the following:
– 30 ]
[ Roll no.1
[Roll no.21
Search 20 mathematical symbols from the internet, books, magazines etc. Collect
information about
their origin, meaning and their use in different areas of mathematics.
4. Make an illustrative power point presentation including the following points: [ Roll no.31
and above]
(i) Introduction to trigonometry.
(ii) Fields to which trigonometry is applicable.
(iii) Use of trigonometry in daily life.
(B) CHART:
Make one chart on the given topics:
ROLL NO.
1 – 10
10 – 20
TOPIC
Introduction to Trigonometry
Polynomials
20 – 30
30 – 35
35 AND ABOVE
Linear Equations
Similar Triangles
REAL NUMBERS
C) ASSIGNMENT:
TOPIC
: REAL NUMBERS
Q1. Show that square of an odd positive integer is of the form 8q + 1, for some positive
integer q.
Q2. If the HCF of 210 and 55 is expressible in the form 210 × 5 + 55y, find y.
Q3. Find the largest number which divides 245 and 1029 leaving remainder 5 in each case.
Q4. Check whether 5n can end with the digit 0 for any natural number n.
Q5. If HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the
other.
Q6. Prove that 5 + 2 √ 3 is an irrational number.
Q7. After how many places of decimals, the decimal expansion of the rational number
will
terminate?
Q8. State the fundamental theorem of Arithmetic.
Q9. Using prime factorization, find the HCM and LCM of 72, 126 and 168.
Also show that HCF x LCM ≠ product of the three numbers.
Q10. Express each of the following as the product of its prime factors.
(a) 6435
(b) 8085
(c) 2184
Q11. Using Euclid’s division algorithm, find the HCF of the following.
(a) 1288, 576
(b) 155, 1305
(c) 240, 1024
Q12.Show that every positive even integer is of the form 2q and every positive odd integer is
of the
form 2q+1, where q is some integer.
Q13.The product of two numbers is 20736 and their HCF is 54, find their LCM.
TOPIC: POLYNOMIALS
Q1. If (x + k ) is a factor of 2x² + 2kx + 5x + 10, find k.
Q2. If α and β are the zeros of a polynomial p(x) = 3x² – 5x + 6 , find
(i) (α / β) + ( β / α )
(ii) α³ + β³
Q3. Find all the zeroes of the polynomial f (x) = 2x4 – 3x³ – 5x² + 9x – 3, if two of its zeroes
are ± √ 3.
Q4. Divide (3 – x + 2x² + x³ – 3x4 ) by (2 – x ) and verify by division algorithm.
Q5. If ‘1’ is one of the zeroes of the polynomial p(x) = 7x – x³ – 6. Find its other zeroes.
Q6.Find the quadratic polynomial, sum and product of whose zeroes are 2 and – 1
respectively.
Q7. Find the quadratic polynomial whose zeroes are
and
.
Q8.Find the polynomial whose zeroes are 2, 1 and – 1. What is its degree?
Q9. Find the polynomial whose zeroes are reciprocals of the zeroes of the polynomial 2x² +
3x – 6.
Q10. Find the ratio of the sum and product of the zeroes of the polynomial 5x² + 2x – 10.
Q11. If the sum of the zeroes of the quadratic polynomial kx² + 2x + 3k is equal to their
product, find k.
Q12. Find the polynomial whose zeros are squares of the zeroes of the polynomial 3x² + 6x –
9.
Q13 Find all the zeroes of the polynomial p(x) = x4 – 7x³ + 9x² + 13x – 4, if two of its zeroes
are (2 +√ 3) and ( 2 - √ 3).
Q14. What must be subtracted from 8x4 + 14x³ - 2x² + 7x – 8 so that the resulting polynomial
is exactly divisible by 4x² + 3x – 2?
Q15. If α , β and γ are three zeroes of the cubic polynomial p(x) = 3x³ – 6x² + 5x – 3, then,
find their sum and product.
TOPIC: LINEAR EQUATIONS IN TWO VARIABLES
Q1. For the following system of equations, determine the value of k for which the given
system of equations has unique solution:
a) 2x – 3y = 1 ; kx + 5y = 7
b) 4x – 5y = k ; 2x –3 y = 12
Q2. Find the value of k, for which the system of equations has infinitely many solutions.
a)
b)
2x –3y = 7
;
x + (k+1)y =5 ;
(k+2)x – (2k+1)y = 3(2k–1)
(k+1)x + 9y = 8k – 1
Q3. Find the value of ‘k’ so that the following system of equations has no solution.
a)
(3k+1) x+3y – 2 = 0
(k²+1) x + (k – 2) y –5 = 0
;
Q4.Solve the following system of equations:
1) x + 2y + 1=0, 2x –3 y = 12
2) 2x/a + y/b=2,
x/a – y/b = 4
3) 3(2u+v) =7uv, 3(u+3v) = 11uv
4) 2x+y – 3=0,
2x – 3y –7 = 0
5) 5/(x + y) – 2/(x – y) = –1,
15/(x + y) + 7/(x – y) = 10
6) 1/5x +1/6y =12,
1/3x – 3/7y=8
7) 1/(3x+y) + 1/(3x – y) = ¾ ,
½(3x + y) – ½(3x – y) = –1/8
8)
x/a + y/b = a + b,
x/a² + y/b² = 2
9)
x + y = a + b,
ax – by = a² – b²
10) (a + 2b)x + (2a – b)y = 2,
(a – 2b)x + (2a + b)y = 3
Q5. Solve the following system of equations graphically.
a) x + y = 3,
2x + 5y = 12
c) x – 2y – 5 = 0,
3x – 6y = 15
b) 2x – 3y +13=0,
3x – 2y + 12 = 0
d) 3x – 4y –1=0,
2x – (8/3)y + 5 = 0
Q6.Represent the following equations on the graph and determine the vertices of the triangle,
so formed .
a)
b)
2y – x = 8,
y = x,
5y – x = 14,
y = o,
y– 2x=1
3x + 3y = 10
Q7. Draw the graphs of x – y + 1 = 0 and 3x + 2y –12 = 0. Calculate the area of the triangle
bounded by these lines and the x-axis.
Q8. Solve the system of equations graphically x – y = 1, 2x + y = 8.Shade the area bounded
by these lines and x-axis. Also find its area.
Q9. A man has 40 belts and handkerchiefs in number. If he had 5 more handkerchiefs and 5
less belts, the number of handkerchiefs becomes four times the number of belts. Find the
original number of each.
Q10. The numerator of a fraction is 4 less than its denominator. If the numerator is decreased
by 2 and the denominator is increased by 1,the denominator becomes 8 times its numerator.
Find the fraction.
COMPUTER CLASS-X
X-A
X-B
X-C
Create a Webpage on 3G Technology.
Create a Webpage on Types of Printer.
Create a Webpage on Latest Technologies used to transfer data.
X-D Create a Webpage on Cyber Bullying.
X-E Create a Webpage on Cloud Computing.
Note :
 Submit a hard copy and a soft copy of the web page.
 Hard copy/ Print should be taken on A3 sheet only.
 Your web page should include logo, pictures, relevant text
and different tabs related to the web site.
<<<SCIENCE >>>
 Prepare a working model on series and parallel circuits
Also prepare project report on the same
 Do 50 numerical based on electricity.
 Practise balancing of chemical equations / write 25
balanced chemical equations.
 Prepare a PPT on magnetic effects of electric current.
For Class-X section-C only
Do at least 5 samples papers of SA-1
COURSE(TERM-1 ) . Samples papers are
available on internet. (OPTIONAL )
 Prepare MCQ, s (100) based on FIRST term practicals.
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