Polynomials (IMO- Mathematics Olympiad Class 10): Questions 62 - 67 of 81

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Question number: 62

» Polynomials

MCQ▾

Question

If αandβ are two numbers such that α+β=10,αβ=14 . Then αandβ are the roots of the quadratic equation ________

Choices

Choice (4) Response

a.

x2+10x+12=0

b.

x210x12=0

c.

x2+10x12=0

d.

x2+10x12=0

Question number: 63

» Polynomials

MCQ▾

Question

If αandβ are the zeroes of the quadratic polynomial f(x)=x210x+2k such that αβ=2 , then the value of k is ________

Choices

Choice (4) Response

a.

25

b.

-25

c.

24

d.

-24

Question number: 64

» Polynomials

MCQ▾

Question

If α,β,γ are the roots of the cubic 5x310x2+20x30 , the value of αβγ+βγα+γαβ is ________

Choices

Choice (4) Response

a.

34

b.

43

c.

34

d.

43

Question number: 65

» Polynomials

MCQ▾

Question

Quadratic polynomial having sum of its zeroes (k1) and product of its zeroes 7 is ________

Choices

Choice (4) Response

a.

x2+(k1)x7

b.

x2(k1)x7

c.

x2(k1)x+7

d.

x2+(k1)x+7

Question number: 66

» Polynomials

MCQ▾

Question

Degree of polynomial 5 is ________

Choices

Choice (4) Response

a.

0

b.

Not defined

c.

1

d.

2

Question number: 67

» Polynomials

MCQ▾

Question

x2(k+9)x10=(x2)(x4) , then k is equal to ________

Choices

Choice (4) Response

a.

-15

b.

-17

c.

-18

d.

-12

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