# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 310 - 317 of 968

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## Question 310

### Question

MCQ▾

One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots -5 and 6. The other copied the constant term and coefficient of correctly as and respectively. The correct roots are

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 311

### Question

MCQ▾

If has equal roots, and then c is equal to________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 312

### Question

MCQ▾

The roots of the equation can be found by solving ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 313

### Question

MCQ▾

The equation has ________

### Choices

Choice (4)Response

a.

No root

b.

Two real roots

c.

Infinitely many roots

d.

One integral root

## Question 314

### Question

MCQ▾

If , then the value of x in terms of a and b is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 315

### Question

MCQ▾

Two numbers whose sum is 20 and absolute value of whose difference are 6 are the roots of the equation ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 316

### Question

MCQ▾

If , then the value of x in terms of a and b is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 317

### Question

MCQ▾

If one root of the equation is 1, and then the other root is ________

### Choices

Choice (4)Response

a.

b.

c.

d.