Question

'P'is a point outside a circle of radius 'r' at a distance equal to diameter of such
a circle. Length of tangent to circle from 'P' in terms of r is.___________
a) r/2 b)3r c)√3r d)2r​

Answer 1

Answer:

c) √3r

Step-by-step explanation:

let O be center of a circle and PQ

now OP =2r

OQ =r

OP^2=OQ^2+PQ^2

(2r)^2=r^2+PQ^2

4r^2=r^2+PQ^2

4r^2-r^2=PQ^2

3r^2=PQ^2

PQ=√3r