Download kendriya vidyalaya kanjikode 2015

KENDRIYA VIDYALAYA KANJIKODE 2015-16
SUMMER HOLIDAY HOMEWORK ( MATHEMATICS – CLASS X)
-----------------------------------------------------------------------------------------------------------------------------------SECTION-A
1)
2)
3)
4)
The degree of constant polynomial is
(a) 1
(b) 2
(c) 3
(d) 0
3
2
The value of K for which x – 1 is a factor of the polynomial 4x + 3x – 4x + K is
(a) 0
(b) 3
(c) – 3
(d) 1
An angle is 14 more than its complement. Find its measure.
a) 42
(b) 32
(c) 52
The points (1,3), (2,3) and (4,3) form a line
(d) 62
(a) Which is parallel to the x-axis
(b) Which is parallel to the y-axis
(c) Passing through the origin
(d) None of these
5)
SECTION-B
Evaluate (101)2 by using suitable identity
6)
Check whether 7+ 3x is a factor of
7)
Is -3 a zero of the polynomial P(x) = 2x3 + 4x2 - 5x +3
8)
Expand (x + y – z)2
9)
Factorise x2- 3x - 4
3x2 + 7x
10) Find the zeroes of 8u3 - 4 u
11) Write 98 as a product of prime factors.
12) Give four examples of irrational numbers.
13) Find out the HCF of 15 & 90.
14) Write down the general form of
a) Linear polynomial
b)quadratic polynomial
15) If P(x) = 2x3+ 5x +1 . Find P(0) + P(-1).
SECTION-C
16) If the sum of zeroes of a given polynomial P(x) = x3 - 3kx2 -x + 30 is 6. Find the value of k.
17) Find the value of ‘a’ so that the point(3,9) lies on the line represented by 2x-3y=5a.
18) If the point (3,4) lies on the graph of the equation 3 +7 y= ax find the valve of a.
19) Using prime factorisation method , find LCM and HCF of 24, 60 and 112.
20) Divide f(x) by g(x), where f(x) = 6x3 - 11x2 + 7x + 5 and g(x) = 2x-3.
(PTO)
21) Divide x3 - 3x2 - x + 3 by x-1
22) Find the zeroes of the polynomial x2 - x -2
23) Find the sum and product of zeroes of the polynomial 6x2 – x -2
24) Expand the following
a) ( 2x - 3y ) 3
b) ( 2x - 3y +8)2
25) Find the value for K for which x4 + 10x3 + 25x2 + 15x + K exactly divisible by x + 7.
SECTION-D
26) Draw the graph of the equation y = 4x + 3
27) Using prime factorization method , find LCM and HCF of 72 and 126 . Also show that
LCM X HCF = product of two numbers.
28) On dividing the polynomial 4x4 - 5x3 - 39x2 - 46x – 2 by the polynomial g(x) the quotient is
x2 - 3x – 5 and the remainder is -5x + 8.Find the polynomial g(x).
29) Find graphically the vertices of triangle whose sides have equations 2y - x = 8 , 5y - x = 14
and y - 2x = 1
30) Draw the graph of x + 2y – 7 =0 and 2x – y -4 = 0. Shade the area bounded by these lines and
Y-axis.
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( Note: Please submit the homeworks on 5-6-2015 in an A4 sheet )