Triangle, Circle & Constructions [IMO Level 1- Mathematics Olympiad (SOF) Class 10]: Questions 1 - 6 of 77

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Question 1

Triangle, Circle & Constructions

Question

MCQ▾

In the given figure then is ________

Given the Triangle ABC and D is the Bisector

Choices

Choice (4)Response

a.

b.

c.

d.

Question 2

Triangle, Circle & Constructions

Question

MCQ▾

In the figure , then is ________

Given the Figure Triangle ABC is Similar to Triangle DCB

Choices

Choice (4)Response

a.

b.

c.

d.

Question 3

Triangle, Circle & Constructions

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 .

Given the Two Triangles XYZ and JKL

Choices

Choice (4)Response

a.

1: 4

b.

3: 5

c.

2: 7

d.

2: 3

Question 4

Triangle, Circle & Constructions

Question

MCQ▾

In the given figure And , then ________

Given the Triangle DEF and Multiple Lines Are Parallel

Choices

Choice (4)Response

a.

b.

c.

d.

Question 5

Triangle, Circle & Constructions

Question

MCQ▾

In the adjacent figure, BA and BC are produced to meet CD and AD produced in E and F. then is ________

Figure BA and BC Are Produced to Meet CD & AD Produced in E & F

Choices

Choice (4)Response

a.

b.

c.

d.

Question 6

Triangle, Circle & Constructions

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?

  1. Step I: Take a point O on the plane paper and draw a circle of radius . Also, draw a concentric circle of radius .
  2. 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.
  3. Step III: Join BP and BQ to get the desired tangents.
Given the Pair of Tangents to a Circle of Radius 4 Cm

Choices

Choice (4)Response

a.

(1) and (2)

b.

Only (2)

c.

Only (1)

d.

(2) and (3)

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