Question

Atangent PQ at a point Pof a circle of radius 5 cm meets a line through the centre
Oata point Q. so that 0Q = 3 cm. Length PQ is:
(А) 12 cm
C) 194 cm
(B) 9 cm
(D) None of these​
Please explain the situation

Answer 1

Answer:

In this question OQ = 13 not 3.

The correct answer is (A) i.e. 12 cm

Explanation:

Tangent is always perpendicular to radius

Thus PQ is perpendicular to OP(radius )

Therefore by Pythagoras theorem,

(OQ)2 = (OP)2+ (PQ)2

i.e. (13)2= (5)2 + (PQ)2

i.e. 169 = 25 + (PQ)2

i.e. 144 = (PQ)2

i.e. PQ = √144

i.e PQ = 12 cm

Thus the correct answer is 12 cm i.e. (A)