A tangent PQ at a point P on a circle of radius 5cm meets a line through the centre O at a point such that OQ=13cm. Find the length of PQ.

Asked by anushkasingh260805 | 20th Dec, 2020, 07:22: PM

Expert Answer:

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Circles

Radius = 5 cm

So, OP = 5 cm

OQ = 13 cm

begin mathsize 12px style So space in space triangle space OPQ comma
OP squared space plus space PQ squared space equals space OQ squared
PQ squared space equals space OQ squared space minus space OP squared
space space space space space space space space space space equals space 13 squared space minus space 5 squared
space space space space space space space space space space equals space 144
PQ space equals space 12 space cm end style

Answered by Renu Varma | 22nd Dec, 2020, 11:17: AM