Solve the Problem $x = y ^ { 2 }$ And $y = 5 z ^ { 2 }$

Multiple Choice

Solve the problem.
-Write parametric equations for the tangent line to the curve of intersection of the surfaces $x = y ^ { 2 }$ and $y = 5 z ^ { 2 }$ at the point $( 25,5,1 )$ .

A) x = 100t + 25, y = 5t + 5, z = t + 1
B) x = 50t + 25, y = 5t + 5, z = t + 1
C) x = 100t + 25, y = 10t + 5, z = t + 1
D) x = 50t + 25, y = 10t + 5, z = t + 1