# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 277 - 282 of 968

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## Question 277

### Question

MCQ▾

The roots of the equation can be found by solving ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 278

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 279

### Question

MCQ▾

In the equation , the sum of the roots is 4 and the product of the roots is . Then h and k respectively, have the values ________

### Choices

Choice (4)Response

a.

4 and -3

b.

8 and -3

c.

8 and 6

d.

-3 and 8

## Question 280

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 281

### Question

MCQ▾

If have a common root, then the value of ‘a’ is ________

### Choices

Choice (4)Response

a.

b.

c.

Only 1

d.

## Question 282

### Question

MCQ▾

In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey՚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 5 and 9.
2. Another one committed an error in the coefficient of x and he got the roots as 12 and 4

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.