# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 280 - 285 of 968

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## Question number: 280

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MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 281

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MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

Only 1

d.

## Question number: 282

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MCQ▾

### Question

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.

## Question number: 283

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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.

Not determined

b.

c.

d.

## Question number: 284

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MCQ▾

### Question

If , then is equal to ________

### Choices

Choice (4) Response

a.

b.

c.

0

d.

5

## Question number: 285

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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.

D is not defined