Find Equations for the Tangent Plane and the Normal Line $x ^ { 2 } + 9 y ^ { 2 } + 9 z ^ { 2 } = 22$

Multiple Choice

Find equations for the tangent plane and the normal line to the surface with equation $x ^ { 2 } + 9 y ^ { 2 } + 9 z ^ { 2 } = 22$ at the point $P ( 2,1,1 )$ .

A) $x + 9 y + 9 z = 22 , \quad \frac { x - 2 } { 2 } = y - 9 = z - 9$
B)
$x + 9 y + 9 z = 22 , \frac { x - 2 } { 2 } = \frac { y - 1 } { 9 } = \frac { z - 1 } { 9 }$
C)
$2 x + 9 y + 9 z = 22 , \quad \frac { x - 2 } { 2 } = \frac { y - 1 } { 9 } = \frac { z - 1 } { 9 }$
$\mathrm { d } .$
$2 x + 9 y + 9 z = 22 , \frac { x - 2 } { 2 } = y - 9 = z - 9$