# IMO- Mathematics Olympiad Class 10: Questions 813 - 817 of 958

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## Question number: 813

MCQ▾

### Question

The areas of two concentric circles are and respectively. The width of the ring is________.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 814

MCQ▾

### Question

In a plane 2 lines and a circle are given. If points intersection of two lines or that of a line with the circle are counted, the maximum number of points intersections possible in this is________

### Choices

Choice (4) Response

a.

5

b.

6

c.

10

d.

8

## Question number: 815

MCQ▾

### Question

The diameter of the driving wheel of a bus is How many revolutions per minute must the wheel make in order to keep a speed of per hour?

### Choices

Choice (4) Response

a.

100

b.

243

c.

124

d.

110

## Question number: 816

MCQ▾

### Question

The diameter of the driving wheel of a bus is How many revolutions per minute must the wheel make in order to keep a speed of per hour?

### Choices

Choice (4) Response

a.

200

b.

280

c.

243

d.

250

## Question number: 817

MCQ▾

### Question

Let ABC be a right triangle in which . BD is the perpendicular from B on AC. The circle through B, C, and D is drawn from A to this circle. Given below are the steps of constructions of a pair of tangents. Find out the wrong step.

1. Step I: Draw and perpendicular BD from B on AC.

2. Step II: Draw a circle with BC as a diameter. This circle will pass through D.

3. Step III: Let O be the mid-point of BC. Join AO.

4. Step IV: Draw a circle with AO as diameter. This circle cuts the circle drawn in step II B at P. joins AO, AP and AB are desired tangents. Drawn from A to the circle passing through B, C and D.

### Choices

Choice (4) Response

a.

Only 2

b.

Only 3

c.

Only 4

d.

Only 1

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