Polynomials (IMO- Mathematics Olympiad Class 10): Questions 54 - 59 of 81

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Question number: 54

» Polynomials

MCQ▾

Question

For Equation to be a factor of Equation , the value of p and q should respectively be ________

Choices

Choice (4) Response

a.

2, 5

b.

5, 2

c.

6, 25

d.

5, 25

Question number: 55

» Polynomials

MCQ▾

Question

When Equation is divided by Equation , the quotient and remainder is ________

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 56

» Polynomials

MCQ▾

Question

If Equation are two numbers such that Equation . Then Equation are the roots of the quadratic equation ________

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 57

» Polynomials

MCQ▾

Question

The sum of the reciprocals of the roots of the equation Equation is ________

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 58

» Polynomials

MCQ▾

Question

If the sum of the squares of zeroes of the polynomial Equation is Equation , 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 Equation with the condition Equation , then the value of ‘q’ is ________

Choices

Choice (4) Response

a.

5

b.

6 or -6

c.

5 or -5

d.

6

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