Find the Equation of the Circle That Passes Through the Origin

Multiple Choice

Find the equation of the circle that passes through the origin and has its center at ( $-$ 27, 36) .

A) x ² + y ² + 27 x + 36 y = 0
B) x 2 + y 2 + 27 x $-$ 36 y = 0
C) x ² + y ² + 54 x + 72 y = 0
D) x 2 + y 2 + 54 x $-$ 72 y = 0
E) x 2 + y 2 + 72 x $-$ 54 y = 0