Triangle, Circle & Constructions [IMO Level 1- Mathematics Olympiad (SOF) Class 10]: Questions 1 - 6 of 77
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Question 1
Question 2
Question 3
Question MCQ▾
J, K and L are respectively the mid-points of sides XY, YZ and XZ of . Find the ratio of the area of .
Choices
Choice (4) | Response | |
---|---|---|
a. | 1: 4 | |
b. | 3: 5 | |
c. | 2: 7 | |
d. | 2: 3 |
Question 4
Question 5
Question MCQ▾
In the adjacent figure, BA and BC are produced to meet CD and AD produced in E and F. then is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 6
Question MCQ▾
Given below are the steps of construction of a pair of tangents to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm. find which of the following step is wrong?
- Step I: Take a point O on the plane paper and draw a circle of radius . Also, draw a concentric circle of radius .
- Step II: Find the mid-point A of OB and draw a circle of radius . Suppose this circle intersects the circle of radius 4 cm at P and Q.
- Step III: Join BP and BQ to get the desired tangents.
Choices
Choice (4) | Response | |
---|---|---|
a. | (1) and (2) | |
b. | Only (2) | |
c. | Only (1) | |
d. | (2) and (3) |