Polynomials (IMO- Mathematics Olympiad Class 10): Questions 56 - 61 of 81

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Question number: 56

» Polynomials

MCQ▾

Question

If αandβ are two numbers such that α+β=6,αβ=8 . Then αandβ are the roots of the quadratic equation ________

Choices

Choice (4) Response

a.

x2+6x+7=0

b.

x26x+8=0

c.

x2+6x8=0

d.

x26x7=0

Question number: 57

» Polynomials

MCQ▾

Question

The sum of the reciprocals of the roots of the equation 2x26x8=0 is ________

Choices

Choice (4) Response

a.

43

b.

34

c.

43

d.

34

Question number: 58

» Polynomials

MCQ▾

Question

If the sum of the squares of zeroes of the polynomial 3x2+4x+k is 29 , find the value of k

Choices

Choice (4) Response

a.

-3

b.

-4

c.

4

d.

3

Question number: 59

» Polynomials

MCQ▾

Question

If a and b are the roots of the quadratic equation x2+qx+15=0 with the condition ab=3 , then the value of ‘q’ is ________

Choices

Choice (4) Response

a.

5

b.

6 or -6

c.

5 or -5

d.

6

Question number: 60

» Polynomials

MCQ▾

Question

Quadratic polynomial having sum of its zeroes 10 and product of its zeroes 3 is ________

Choices

Choice (4) Response

a.

x210x3

b.

x2+10x+3

c.

x2+10x3

d.

x210x+3

Question number: 61

» Polynomials

MCQ▾

Question

The roots of the quadratic equation 3x2kx+14=0 are in the ratio 7:6 , then k equals ________

Choices

Choice (4) Response

a.

1

b.

12

c.

-3

d.

13

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