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 of pq is : (a) 12 cm (b) 13 cm (c) 8.5 cm (d) 119

Answer 1

root under 119 is the correct answer

Answer 2

Answer:

(D) √119 cm

Step-by-step explanation:

the line that is drawn from the centre of the given circle to the tangent PQ is perpendicular to PQ.

And so, OP ⊥ PQ

Using Pythagoras theorem in triangle ΔOPQ we get,

OQ2 = OP2+PQ2

(12)2 = 52+PQ2

PQ2 = 144-25

PQ2 = 119

PQ = √119 cm

So, option D i.e. √119 cm is the length of PQ.