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 | |
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a. | ||
b. | ||
c. | ||
d. |
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:
Choices
Choice (4) | Response | |
---|---|---|
a. | 8 | |
b. | 10 | |
c. | 11 | |
d. | 9 |
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 | |
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a. | ||
b. | ||
c. | ||
d. |
Question 1018
Question MCQ▾
The diagram shows circle with radius inside a square of side . Calculate the shaded area.
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
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 | |
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a. | ||
b. | ||
c. | ||
d. |
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 |