Question

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is : (A) 12 cm. (B) 13 cm (C) 8.5 cm (D) cm test

Answer 1

Answer:

V12^2-5^2 = v119=10.9cm

Answer 2

Answer:

PQ = 10.9 cm

Step-by-step explanation:

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm

PQ is tangent at point P  =>   ∠P = 90°

Applying Pythagorus theorem

OQ² = OP² + PQ²

OP = radius = 5 cm

OQ = 12 cm

=> 12² = 5² + PQ²

=> PQ² = 144 - 25

=> PQ² = 119

=> PQ = 10.9 cm