Find an Equation for the Surface Consisting of All Points $P$

Multiple Choice

Find an equation for the surface consisting of all points $P$ for which the distance from $P$ to the $x$ -axis is two times the distance from $P$ to the $y z$ -plane.

A) $2 x ^ { 2 } = y ^ { 2 } - 2 z ^ { 2 }$
B) $4 x ^ { 2 } = y ^ { 2 } + z ^ { 2 }$
C) $2 x ^ { 2 } = y ^ { 2 } + 2 z$
D) $x ^ { 2 } - y ^ { 2 } - z ^ { 2 } = 2$
E) $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$