Solve the Problem A) X = -6t + 1, Y = -6t

Multiple Choice

Solve the problem.
- $\text { Find parametric equations for the normal line to the surface } x ^ { 2 } - 8 x y z + y ^ { 2 } = - 6 z ^ { 2 } \text { at the point } ( 1,1,1 ) \text {. }$

A) x = -6t + 1, y = -6t + 1, z = 4t + 1
B) x = t - 6, y = t - 6, z = t + 4
C) x = t + 6, y = t + 6, z = t - 4
D) x = -6t + 1, y = 6t + 1, z = 4t + 1