Find the Equation of the Circle, Written in the Form $x ^ { 2 } + y ^ { 2 } + a x + b y + c = 0$

Multiple Choice

Find the equation of the circle, written in the form $x ^ { 2 } + y ^ { 2 } + a x + b y + c = 0$ passing through the points (10,3) ,(5,-2) , and (8,7) .

A) $x ^ { 2 } + y ^ { 2 } - 5 x - 3 y + 9 = 0$
B) $x ^ { 2 } + y ^ { 2 } + 10 x + 6 y + 9 = 0$
C) $x ^ { 2 } + y ^ { 2 } - 10 x - 6 y - 2 = 0$
D) $x ^ { 2 } + y ^ { 2 } - 10 x - 6 y + 9 = 0$