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A point P is at a distance from the centre equal to the diameter of the circle. Find the angle between the two tangents from P.

Class 10Tangent Lengths and IncirclesGeometry

A90°
B30°
C120°
D60°

Step-by-Step Solution

OP = 2 r

. In right triangle

O A P, sin ∠ OP A = \frac{r}{2 r} = \frac{1}{2}

, so ∠

OP A = 30

° and ∠APB =

2 \times 30

° = 60°. 30° is only half the angle.

Answer: D) 60°

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