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Draw a Pair of Tangents to a Circle of Radius 4.5 Cm, Which Are Inclined to Each Other at an Angle of 45°. - Mathematics

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Answer in Brief

Draw a pair of tangents to a circle of radius 4.5 cm, which are inclined to each other at an angle of 45°. 

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Solution

Steps of Construction
Step 1. Draw a circle with centre O and radius 4.5 cm.
Step 2. Draw any diameter AOB of the circle.
Step 3. Construct ∠BOC = 45º such that radius OC cuts the circle at C.
Step 4. Draw AM ⊥ AB and CN ⊥ OC. Suppose AM and CN intersect each other at P.

Here, AP and CP are the pair of tangents to the circle inclined to each other at an angle of 45º.

Concept: Construction of Tangents to a Circle
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 9 Constructions
Exercise 9.3 | Q 5 | Page 17
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