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

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Question number: 12

» Sets, Relations and Functions

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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

» Sets, Relations and Functions

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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

» Trigonometry

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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

» Sets, Relations and Functions

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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

» Trigonometry

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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

» Linear Inequations

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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.

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