Describe the Given Set of Points with a Single Equation $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 169$

Multiple Choice

Describe the given set of points with a single equation or with a pair of equations.
-The circle in which the plane through the point (5, -8, -2) perpendicular to the x-axis meets the sphere of radius 13 centered at the origin.

A) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 169$ and $z = 5$
B) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 144$ and $y = 5$
C) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 119$ and $y = 5$
D) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 169$ and $x = 5$