Solve the Problem $x y - z ^ { 2 } - 6 y + 36 = 0$

Multiple Choice

Solve the problem.
-What points of the surface $x y - z ^ { 2 } - 6 y + 36 = 0$ are closest to the origin?

A) $( - 2 , - 4 , \pm 2 )$
B) $( - 2,4 , \pm 2 )$
C) $( 2 , - 4 , \pm 2 )$
D) $( 2,4 , \pm 2 )$