The Symmetric Equations of the Normal Line to the Surface $\sqrt { x } + \sqrt { y } + \sqrt { z } = 4$

Multiple Choice

The symmetric equations of the normal line to the surface $\sqrt { x } + \sqrt { y } + \sqrt { z } = 4$ at (1, 1, 4) are

A) $\frac { x - 1 } { 2 } = 4 ( y - 1 ) = z - 4$
B) $\frac { x - 1 } { - 4 } = 4 ( y - 1 ) = z - 4 = 4 ( y - 1 ) = z - 4$
C) $\frac { x - 1 } { 4 } = 4 ( y - 1 ) = z - 4$
D) $- 4 ( x - 1 ) = 4 ( y - 1 ) = z - 4$
E) $( x - 1 ) = ( y - 1 ) = 2 ( z - 4 )$