# IMO Level 1- Mathematics Olympiad (SOF) Class 11: Questions 12 - 17 of 17

Access detailed explanations (illustrated with images and videos) to 17 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. Unlimited Access for Unlimited Time! View Sample Explanation or View Features.

Rs. 100.00 or

How to register?

## Question number: 12

Edit
MCQ▾

### Question

Let two numbers have arithmetic mean 9 and geometric mean 4. Then these number are the roots of the equation.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 13

Edit
MCQ▾

### Question

Number greater than 1000 but not greater than 4000 which can be formed with the digits 0,1, 2,3, 4 (repetition of digits is allowed) are

### Choices

Choice (4)Response

a.

350

b.

576

c.

450

d.

375

## Question number: 14

Edit
MCQ▾

### Question

A focus of an ellipse is at the origin. The directrix is the line and the eccentricity is . then the length of the semi-major axis is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 15

Edit
MCQ▾

### Question

If A, B, C are non-empty sets and

### Choices

Choice (4)Response

a.

A = B but A≠C

b.

A = C but B≠C

c.

A, B, C may be disjoint set also

d.

A = B=C

## Question number: 16

Edit
MCQ▾

### Question

The foci of the ellipse and the hyperbola coincide. Then the value of

### Choices

Choice (4)Response

a.

7

b.

5

c.

1

d.

9

## Question number: 17

Edit
MCQ▾

### Question

In an ellipse, the distance between its foci is 6 and minor axis is 8. Then its eccentricity is

### Choices

Choice (4)Response

a.

b.

c.

d.

Developed by: