# Quadratic Equations (IMO- Mathematics Olympiad (SOF) Class 10): Questions 21 - 28 of 80

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 958 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 450.00 or

## Question number: 21

MCQ▾

### Question

If one roots of is 3 times the other; the value of p is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 22

MCQ▾

### Question

A convex polygon has 77 diagonals. The number of its sides is ________

### Choices

Choice (4) Response

a.

11

b.

14

c.

8

d.

3

## Question number: 23

MCQ▾

### Question

The square of a number is decreased by 24. This value is twice the original number. Then the number is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## 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.

f Page