# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 747 - 749 of 968

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## Question number: 747

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MCQ▾

### Question

In the figure, and intersect at M. then________.

### Choices

Choice (4) Response

a.

b.

c.

d.

Both a. and c. are correct

## Question number: 748

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MCQ▾

### Question

If the radii of the circular ends of a conical bucket are and and the height is the capacity of the bucket is________.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 749

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MCQ▾

### Question

Give below are the steps of construction of (without using the center of the circle radius) two tangents to the circle from point A.

1. Step I: Draw a line segment Take a point A outside the circle and draw a secant ACD, intersecting the circle at C and D.

2. Step II: Produce to to B such that draw a semi-circle with BD as diameter.

3. Step III: Draw intersecting the semi-circle at E. with A as center and BA as radius draw arcs to intersect the given circle at S and S’.

4. Step IV: Join AS and AS’. Then, AS and AS’ are the required tangents.

### Choices

Choice (4) Response

a.

3

b.

2

c.

4

d.

1