# Triangle, Circle & Constructions (IMO Level 1- Mathematics Olympiad (SOF) Class 10): Questions 6 - 8 of 64

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## Question number: 6

» Triangle, Circle & Constructions

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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 . 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 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.

(1) and (2)

b.

Only (2)

c.

Only (1)

d.

(2) and (3)

## Question number: 7

» Triangle, Circle & Constructions

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### Question

is an isosceles triangle in which . Side RS is produced to P such that . Then equals ________ 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.

b.

c.

d.

## Question number: 8

» Triangle, Circle & Constructions

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MCQ▾

### Question

In an isosceles triangle ABC, is bisected by AD where D lies on BC. It is found that . Then equals ________ Given the Triangle ABC and D is a Lies on BC Given the triangle ABC and angle BAC is bisected by AD where D lies on BC

### Choices

Choice (4) Response

a.

b.

c.

d.

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