Find the Points on the Surface $z ^ { 2 } = x y + 49$

Multiple Choice

Find the points on the surface $z ^ { 2 } = x y + 49$ that are closest to the origin.

A) $( 0,0 , - 49 )$
B) $( 0,0,49 ) ( 0,0 , - 49 )$
C) $( 0,7,0 )$
D) $( 0,0,7 ) ( 0,0 , - 7 )$
E) $( 0,0,7 )$