Let the tangents at the points … and … on the circle …, intersect at the point …. Then the radius of the circle, whose centre is … and the line joining … and … is its tangent, is equal to :

Circle

JEE Main 2023 · 29 Jan, Morning shift · Q3033

MathematicsHard127×since 2002Q3033

Let the tangents at the points

A(4,-11)

and

B(8,-5)

on the circle

x^{2}+y^{2}-3 x+10 y-15=0

, intersect at the point

C

. Then the radius of the circle, whose centre is

C

and the line joining

A

and

B

is its tangent, is equal to :