Solve the Problem $z = 10 x ^ { 2 } + 2 y ^ { 2 }$

Multiple Choice

Solve the problem.
-Write parametric equations for the tangent line to the curve of intersection of the surfaces $z = 10 x ^ { 2 } + 2 y ^ { 2 }$ and $z = x + y + 10$ at the point $( 1,1,12 )$ .

A) x = -19t + 1, y = 21t + 1, z = 16t + 12
B) x = -3t + 1, y = 21t + 1, z = 16t + 12
C) x = -19t + 1, y = 19t + 1, z = 16t + 12
D) x = -3t + 1, y = 19t + 1, z = 16t + 12