CBSE Class 10 Maths (Standard) 2025 · Paper 30/6/1 · Question 31

Circles 3 marks Medium

In the adjoining figure,

T P

and

T Q

are tangents drawn to a circle with centre

O

. If

∠ O P Q = 1 5^{\circ}

and

∠ P T Q = θ

, then find the value of

sin 2 θ

Two tangents TP, TQ with angle OPQ = 15 deg.

Answer

The angle between the tangents is

θ = 3 0^{\circ}

, so

sin 2 θ = sin 6 0^{\circ} = \frac{3}{2}

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