Find Equations for the Tangent Plane and the Normal Line $x ^ { 2 } + 3 y ^ { 2 } + 9 z ^ { 2 } = 16$

Multiple Choice

Find equations for the tangent plane and the normal line to the surface with equation $x ^ { 2 } + 3 y ^ { 2 } + 9 z ^ { 2 } = 16$ at the point $P ( 2,1,1 )$

A) $x + 3 y + 9 z = 16$ , $\frac { x - 2 } { 2 } = y - 3 = z - 9$
B) $2 x + 3 y + 9 z = 16$ , $\frac { x - 2 } { 2 } = \frac { y - 1 } { 3 } = \frac { z - 1 } { 9 }$
C) $x + 3 y + 9 z = 16$ , $\frac { x - 2 } { 2 } = \frac { y - 1 } { 3 } = \frac { z - 1 } { 9 }$
D) $2 x + 3 y + 9 z = 16$ , $\frac { x - 2 } { 2 } = y - 3 = z - 9$