IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 811 - 814 of 1025

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Question 811

Question MCQ▾

A right triangle, whose sides are and 4 (other than hypotenuse) is made to revolve about its hypotenuse. The volume of the double cone so formed is ________

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 812

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 Q.

  1. Step I: Draw a line segment Take a point Q outside the circle and draw a secant QRO, intersecting the circle at R and O.
  2. Step II: Produce to to P such that draw a semi-circle with as diameter.
  3. Step III: Draw intersecting the semi-circle at S. with Q as center and PQ as radius draw arcs to intersect the given circle at A and A′.
  4. Step IV: Join QA and QA′. Then, QA and QA ′ are the required tangents.

Choices

Choice (4)Response

a.

2

b.

3

c.

1

d.

4

Edit

Question 813

Question MCQ▾

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

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 814

Question MCQ▾

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.

10

b.

6

c.

8

d.

5

Edit