\(x^2+y^2-10x-8y-14n=0\) The given equation represents circle A in th…

Question

Prompt

x^{2} + y^{2} - 10 x - 8 y - 14 n = 0

The given equation represents circle A in the

x y

-plane, where

n

is a constant. Point

(11, 8)

lies on circle B, which has the same center but twice the diameter as circle A. What is the value of

n