The Symmetric Equations of the Tangent Line to the Curve $z = 16 - x ^ { 2 } - y ^ { 2 }$

Multiple Choice

The symmetric equations of the tangent line to the curve of intersection of the surface $z = 16 - x ^ { 2 } - y ^ { 2 }$ and the plane x = 1 at the point (1, 2, 11) are

A) $2 z - 11 = \frac { y - 2 } { - \frac { 1 } { 4 } } , x = 1$
B) $4 z - 11 = \frac { y - 2 } { \frac { 1 } { 4 } } , x = 1$
C) $4 z - 11 = \frac { y - 2 } { - \frac { 1 } { 4 } } , x = 1$
D) $z - 11 = \frac { y - 2 } { \frac { 1 } { 4 } } , x = 1$
E) $z - 11 = - 4 ( y - 2 ) , x = 1$