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 po…

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

[JEE Main 2023, 29 Jan (Shift 1)]