# IMO- Mathematics Olympiad (SOF) Class 10: Questions 747 - 749 of 958

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 958 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 450.00 or

## Question number: 747

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

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

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.

4

b.

1

c.

2

d.

3

f Page