The Symmetric Equations of the Normal Line to the Surface $16 z = 4 x ^ { 2 } + y ^ { 2 }$

Multiple Choice

The symmetric equations of the normal line to the surface $16 z = 4 x ^ { 2 } + y ^ { 2 }$ at (2, 4, 2) are

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