\(x^2+y^2-6x-10y-4n=0\) The given equation represents circle A in the…

Question

Prompt

x^{2} + y^{2} - 6 x - 10 y - 4 n = 0

The given equation represents circle A in the xy-plane, where

n

is a constant. Point

(5, 7)

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

n