Question

8. A tangent PQ at a point P of a circle of radius 5cm meets a line through

the

centre O at a point Q so that OQ=12cm. Find length of PQ
​

Answer 1

Answer:

√119cm

Explanation:

Given,

Radius OP=5cm and OQ=12cm

PQ is the tangent to the circle.

∠OPQ=90°

So,by Pythagoras theorem we get,

PQ²=OQ²−OP²

=>PQ² =12²−5²

=>PQ²=144−25

=>PQ²=119

=>PQ. = √119cm