Question

In the fig, PA, CD and PB are the tangents to a circle with centre O , If BC = 10CM AP=4cm Find the length of CD .​

Answer 1

From figure,

CA is perpendicular to AP and CB is perpendicular to BP

Again AC = BC = 4 (radius of the circle)

Also AP = PB = (Tangents from point P)

So, BPAC is a square.

=> AP = PB = BC = CA = 4 cm

So, length of tangents are 4 cm each

therefore option B will be the answer.

see this attachment

hope this helps you.