Triangle, Circle & Constructions (IMO- Mathematics Olympiad Class 10): Questions 5 - 7 of 63

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Question number: 5

» Triangle, Circle & Constructions

MCQ▾

Question

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

Figure BA and BC are produced to meet CD & AD produced in E & F

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

Given the adjacent figure BA and BC are produced to meet CD and AD produced in E and F then find sum of Angles AED and CFD

Choices

Choice (4) Response

a.

80°

b.

160°

c.

40°

d.

50°

Question number: 6

» Triangle, Circle & Constructions

MCQ▾

Question

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 OA=4cm . Also, draw a concentric circle of radius OB=6cm .

  2. Step II: Find the mid-point A of OB and draw a circle of radius BA=AO . 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

Given the Pair of Tangents to a Circle of Radius 4 Cm

Given the pair of tangents to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and find the which of the following step is wrong

Choices

Choice (4) Response

a.

(2) and (3)

b.

(1) and (2)

c.

Only (2)

d.

Only (1)

Question number: 7

» Triangle, Circle & Constructions

MCQ▾

Question

SRQ is an isosceles triangle in which SQ=SR . Side RS is produced to P such that SP=SR . Then RQP equals ________

Given triangle SRQ is an isosceles triangle in which SQ=SR

Given Triangle SRQ Is an Isosceles Triangle in Which SQ = SR

Given triangle SRQ is an isosceles triangle in which SQ = SR, side RS is produced to P such that SP = SR

Choices

Choice (4) Response

a.

172°

b.

90°

c.

144°

d.

70°

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