# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 266 - 272 of 968

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## Question number: 266

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MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 267

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MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

15

b.

10

c.

19

d.

14

## Question number: 268

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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.

b.

c.

5,4

d.

## Question number: 269

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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.

## Question number: 270

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MCQ▾

### Question

For what value of ‘P’ the roots of P are equal

### Choices

Choice (4) Response

a.

b.

6,4

c.

4, -1

d.

3, -8

## Question number: 271

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MCQ▾

### Question

A convex polygon has 20 diagonals. The number of its sides is ________

### Choices

Choice (4) Response

a.

8

b.

12

c.

9

d.

7

## Question number: 272

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MCQ▾

### Question

Which of the statements given below is correct. If discriminant for equation is D________

### Choices

Choice (4) Response

a.

b.

c.

d.