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

Multiple Choice

The symmetric equations of the tangent line to the curve of intersection of the surface $z = x ^ { 2 } + y ^ { 2 }$ and the plane y = 2 at the point (1, 2, 5) are

A) $z - 5 = 2 ( x - 1 ) , y = 2$
B) $z - 5 = \frac { x - 1 } { - 2 } , y = 2$
C) $2 z - 5 = \frac { x - 1 } { 2 } , y = 2$
D) $2 z - 5 = \frac { x - 1 } { - 2 } , y = 2$
E) $4 z - 5 = \frac { x - 1 } { 2 } , y = 2$