CBSE Class 10 Maths (Standard) 2020 · Paper 30(B) · Question 36(b)

Constructions (old syllabus) 4 marks Medium

Write the steps of construction of two tangents to a circle of radius

3

cm which are inclined to each other at an angle of

6 0^{\circ}

Answer

Draw a

3

cm circle; construct two radii

O A

O B

with

∠ A O B = 12 0^{\circ}

; draw perpendiculars to

O A

A

and to

O B

B

meeting at

P

. Then

P A

and

P B

are the tangents, inclined at

∠ A P B = 6 0^{\circ}

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