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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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Question

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

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.

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APPEARS IN

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 9: Constructions
Ex. 9.3 | Q: 5 | Page no. 17
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 9: Constructions
Ex. 9.3 | Q: 5 | Page no. 17
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Solution Draw a Pair of Tangents to a Circle of Radius 4.5 Cm, Which Are Inclined to Each Other at an Angle of 45°. Concept: Construction of Tangents to a Circle.
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