Let $x ^ { 2 } + y ^ { 2 } + A x + B y + C = 0$ be a circle passing through ( 0,6 ) and touching the parabola $y = x ^ { 2 }$ at ( 2,4 ). Then $A + C$ is equal to (1) 16 (2) $\frac { 88 } { 5 }$ (3) 72 (4) - 8
Let $x ^ { 2 } + y ^ { 2 } + A x + B y + C = 0$ be a circle passing through ( 0,6 ) and touching the parabola $y = x ^ { 2 }$ at ( 2,4 ). Then $A + C$ is equal to\\
(1) 16\\
(2) $\frac { 88 } { 5 }$\\
(3) 72\\
(4) - 8