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Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60o.
Asked by Topperlearning User | 10 Oct, 2017, 09:04: AM

Steps of construction:

1. Draw circle with centre O and radius OA = 5 cm, .
2. Mark another point B on the circle such that ∠AOB = 120°, supplementary to the angle between the tangents. Since the angle between the tangents to be constructed is 60°.

∴ ∠AOB = 180° – 60° = 120°.

3.Construct angles of 90° at A and B and extend the lines so as to intersect at point P.

4. Thus, AP and BP are the required tangents to the circle.

Answered by | 10 Oct, 2017, 11:04: AM

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