IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 748 - 752 of 968

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Question 748

Question

MCQ▾

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 749

Question

MCQ▾

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

Question 750

Question

MCQ▾

In the given figure, O is the center of the circle, then is ________.

Quadrilateral and Circle

Choices

Choice (4)Response

a.

b.

c.

d.

Question 751

Question

MCQ▾

The perimeter of a sector of a circle of radius is The area of the sector is________.

Choices

Choice (4)Response

a.

b.

c.

d.

Question 752

Question

MCQ▾

Given below are the steps of construction of a pair of tangents to a circle of radius which are inclined to each other at an angle of . Find which of the following step is wrong.

  1. Step I: Take a point O on the paper and draw a circle of radius
  2. Step II: Produce to such that
  3. Step III: Taking as the center draw a circle of radius suppose it cuts the circle drawn in step I at P and Q.
  4. Step IV: Join and to get desired tangents.
Two Circle with Radius 5 Cm Are Given

Choices

Choice (4)Response

a.

Only 2

b.

Only 3

c.

Only 4

d.

Only 1