Describe the Given Set of Points with a Single Equation $\left( \frac { x } { 6 } \right) ^ { 2 } + \left( \frac { y } { - 4 } \right) ^ { 2 } + 1 = 36$

Multiple Choice

Describe the given set of points with a single equation or with a pair of equations.
-The circle of radius 6 centered at the point (6, -4, 36) and lying in a plane parallel to the xy-plane

A) $\left( \frac { x } { 6 } \right) ^ { 2 } + \left( \frac { y } { - 4 } \right) ^ { 2 } + 1 = 36$
B) $( x - 6 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 36$ and $z = 36$
C) $( x - 6 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 36$ and $x + y = 2$
D) $\left( \frac { x } { 6 } \right) ^ { 2 } + \left( \frac { y } { - 4 } \right) ^ { 2 } = 36$ and $z = 36$