# Quadratic Equations (IMO- Mathematics Olympiad Class 10): Questions 24 - 29 of 80

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## Question number: 24

MCQ▾

### Question

In the equation, the sum of the roots is 3 and the product of the roots is 25. Then h and k respectively, have the values ________

### Choices

Choice (4) Response

a.

-9 and 5

b.

-9 and -5

c.

9 and 5

d.

9 and -5

## Question number: 25

MCQ▾

### Question

If one roots of is twice the other root, and then the value of ‘b’ is ________

### Choices

Choice (4) Response

a.

3

b.

-9

c.

d.

9

## Question number: 26

MCQ▾

### Question

Solve the equation by using quadratic formula, then x is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 27

MCQ▾

### Question

A convex polygon has 90 diagonals. The number of its sides is ________

### Choices

Choice (4) Response

a.

19

b.

15

c.

14

d.

10

## Question number: 28

MCQ▾

### Question

One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 4 and 5. The other copied the constant term and coefficient of correctly as and respectively. The correct roots are

### Choices

Choice (4) Response

a.

5, 4

b.

c.

d.

## Question number: 29

MCQ▾

### Question

Two numbers whose sum is 10 and absolute value of whose difference is 4 are the roots of the equation ________

### Choices

Choice (4) Response

a.

b.

c.

d.

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