Question

the length of the tangent drawn at a distance 5 cm from the centre of a radius 3 cm is
(a) 4 cm
(b) 3.5 cm
(c) 4.5 cm
(d) 5.5 cm​

Answer 1

Given: PQ is a tangent to the circle intersect at Q. OP = 5 cm and OQ = 3 cm.

To find: PQ

PQ = √OP²-OQ²=√5²-3²=√25-9=√16 = 4 cm

option a is correct