Polynomials (IMO- Mathematics Olympiad Class 10): Questions 68 - 73 of 81

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Question number: 68

» Polynomials

MCQ▾

Question

If one zero of the polynomial f(x)=(k2+4)x2+13x+4k is reciprocal of the other, then k is equal to ________

Choices

Choice (4) Response

a.

1

b.

-1

c.

-2

d.

2

Question number: 69

» Polynomials

MCQ▾

Question

When 3x2x33x+5 is divided by x1x2 , the quotient and remainder is ________

Choices

Choice (4) Response

a.

x2,3

b.

x+2,3

c.

x2,3

d.

x+2,3

Question number: 70

» Polynomials

MCQ▾

Question

If αandβ are the roots of the equations 4x28x+6=0 , then the value of 1α+1β is ________

Choices

Choice (4) Response

a.

34

b.

165

c.

516

d.

43

Question number: 71

» Polynomials

MCQ▾

Question

If αandβ are the roots of the equation px2+qx+r=0 , then the quadratic equation whose roots are 1α and 1β is ________

Choices

Choice (4) Response

a.

px2qx+r=0

b.

rx2qx+p=0

c.

qx2px+r=0

d.

rx2+pxq=0

Question number: 72

» Polynomials

MCQ▾

Question

Quadratic polynomial having sum of its zeroes 5 and product of its zeroes -14 is ________

Choices

Choice (4) Response

a.

x210x+14

b.

x210x14

c.

x25x+14

d.

x25x14

Question number: 73

» Polynomials

MCQ▾

Question

The sum of the reciprocals of the roots of the equation 2x244x60=0 is ________

Choices

Choice (4) Response

a.

1115

b.

1511

c.

1115

d.

1511

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