# IMO- Mathematics Olympiad Class 9: Questions 352 - 356 of 919

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## Question number: 352

MCQ▾

### Question

Two regular polygons are such that the ratio between their no. of sides is 1: 2 and the ratio of measures of their interior angles is 4: 7. Find the number of sides of each polygon

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 353

MCQ▾

### Question

The area of a quadrilateral JKLM, in which, is an equilateral triangles of side 20 cm and is________.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 354

MCQ▾

### Question

A1 is a circle of radius 8 cm, A2 is a circle of radius 12 cm. Shivangi wants the two circles to touch tangentially. She knows that there are two possibilities for the distance between their centres. What are these two distances?

### Choices

Choice (4) Response

a.

5 cm and 19 cm

b.

4 cm and 20 cm

c.

16 cm and 8 cm

d.

12 cm and 4 cm

## Question number: 355

MCQ▾

### Question

In the figure, the value of x if , is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 356

MCQ▾

### Question

Triangle PAB is formed by three tangents to circle with center O and, then angle AOB equals ________

### Choices

Choice (4) Response

a.

b.

c.

d.

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