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DPP #18
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#LP 1 : If two positive integers a and b are written as a = x y and b = x y, where x, y
are prime numbers, then find HCF (a, b).
#LP 2 : If the LCM of 12 and 42 is 10 m + 4, then the value of m is:
a. 50 b. 8 c. 1 d. 1
5
#LP 3 : If the point (2p - 3, p + 2) lies on the line 2x + 3y = -15 then the value of p is :
a. - 7 b. 7 c. 15 d. - 15
15 15 7 7
#LP 4 : Sunita has X rupees more than vinay has. Together they have a total of Y
rupees, the equations which represents the rupees vinay has:
a. Y- X b. Y - X c. Y - X d. 2Y - X
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#LP 5 : A fraction becomes 1 when 1 is subtracted from the numerator and it becomes
3
1 when 8 is added to its denominator . Find the fraction .
4
2 2
#LP 6 : If the zeroes of the polynomial f (x ) = k x - 17x + k + 2 , (k>0) are reciprocal of
each other than value of k is :
a. 2 b. - 1 c. - 2 d. 1
#LP 7 : A polynomial in the following is:
a. 7x2-5√ x+√ 5 b. t3- 2 t + 1 c. x2- 1 d. √ y + 5y-1
2
x
2 2 2
#LP 8 : If one of the zeros of polynomial a x + x + b is – 1 then:
a. a2+ b2= 0 b. a2+ b2- 1 = 0
2 2 2 2
c. a - b + 1 = 0 d. a + b = -1
2 2 2
#LP 9 : If α and β are the zeroes of the polynomial 25x – 16, then α + β is :
a. 32 b. 25 c. 25 d. 16
25 32 16 25
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#LP 10 : The degree of the polynomial ( x +1)(x2- x - x4+1) is
a. 4 b. 1 c. 5 d. 2
2
#LP 11 : If α and β are the zeroes of the quadratic polynomial f ( t )= t – 4t + 3, then
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the value of α β + α4β3is:
a. 104 b. 108 c. 122 d.5
#LP 12 : If α, β are the zeroes of the polynomial f ( x ) = x – 3x + 2, then find 1 + 1 .
2
α β
2
#LP 13 : If α and β are the zeroes of the polynomial f (x) = 4x – 5x + 1, find a
quadratic polynomial whose zeroes are α2and β2 .
β α
2
#LP 14 : If α and β are the zeroes of the quadratic polynomial f(x) = x – px + q ,
prove that α2+ β = p4- 4p2 + 2 .
2
β2 α2 q 2 q
