# Quadratic Equations (IMO- Mathematics Olympiad (SOF) Class 10): Questions 8 - 13 of 80

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## Question number: 8

MCQ▾

### Question

The roots of the equation can be found by solving ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 9

MCQ▾

### Question

A convex polygon has 170 diagonals. The number of its sides is ________

### Choices

Choice (4) Response

a.

20

b.

40

c.

50

d.

30

## Question number: 10

MCQ▾

### Question

In the Maths Olympiad of 2016 at X Planet, two representatives from the Alex’s side, while solving a quadratic equation, committed the following mistakes:

1. One of them made a mistake in the constant term and got the roots as 10 and 15.
2. Another one committed an error in the coefficient of x and he got the roots as -9 and 8

But in the meantime, they realized that they are wrong and they managed to get it right jointly. Find the quadratic equation.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 11

MCQ▾

### Question

In the equation, the sum of the roots is 6 and the product of the roots is 5. Then h and k respectively, have the values ________

### Choices

Choice (4) Response

a.

-42 and 7

b.

18 and 4

c.

-31 and 8

d.

62 and 12

## Question number: 12

MCQ▾

### Question

Find the value of ‘m’ if sum of roots of is

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 13

MCQ▾

### Question

Find the value of ‘m’ if product of roots of is

### Choices

Choice (4) Response

a.

b.

c.

d.

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