# Polynomials (IMO- Mathematics Olympiad (SOF) Class 10): Questions 58 - 64 of 81

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## Question number: 58

» Polynomials

MCQ▾

### Question

If the sum of the squares of zeroes of the polynomial is, 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 with the condition , 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 and product of its zeroes 3 is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 61

» Polynomials

MCQ▾

### Question

The roots of the quadratic equation are in the ratio, then k equals ________

### Choices

Choice (4) Response

a.

1

b.

12

c.

-3

d.

13

## Question number: 62

» Polynomials

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 63

» Polynomials

MCQ▾

### Question

If are the zeroes of the quadratic polynomial such that , 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 are the roots of the cubic, the value of is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

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