IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 1015 - 1020 of 1025

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Question 1015

Question MCQ▾

If And Are Two Vertices of a Triangle of Area . Units, then Its Third Vertex Lies on

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 1016

Question MCQ▾

Suppose ​ and are two unequal circles; AB and CD are the direct common tangents to these circles. A transverse common tangent cuts in and CD in S. If , then RS is:

The Direct Common Tangents to These Circles

Choices

Choice (4)Response

a.

8

b.

10

c.

11

d.

9

Edit

Question 1017

Question MCQ▾

and lie on the same straight line which is parallel to the y-axis. If is units from the x- axis, the possible coordinates of are ________.

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 1018

Question MCQ▾

The diagram shows circle with radius inside a square of side . Calculate the shaded area.

The Diagram Shows Circle with Radius 3 Cm

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 1019

Question MCQ▾

Suppose ABCD is a rhombus. A straight line passing through C meet AD which is produced at P and meet produced at . Therefore if , then find the ratio between and ?

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 1020

Question Assertion-Reason▾

Assertion(Ꭺ)

for n being a natural-numbers.

Reason(Ꭱ)

All integral values of is for which .

Choices

Choice (4)Response

a.

Both Ꭺ and Ꭱ are true but Ꭱ is NOT the correct explanation of Ꭺ

b.

Both Ꭺ and Ꭱ are true and Ꭱ is the correct explanation of Ꭺ

c.

Both Ꭺ and Ꭱ are false

d.

Ꭺ is false but Ꭱ is true

Edit