The Ellipsoid $8 x ^ { 2 } + 3 y ^ { 2 } + z ^ { 2 } = 14$

Multiple Choice

The ellipsoid $8 x ^ { 2 } + 3 y ^ { 2 } + z ^ { 2 } = 14$ intersects the plane $y = 2$ in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (1, 2, 2) .

A) $x = 1 + t , y = 2 , z = - 4 t + 2$
B) $x = 1 + t , y = 2 , z = - 4 t - 2$
C) $x = 1 + t , y = 1 , z = 4 t + 2$
D) $x = t , y = 2 , z = - 4 t + 2$
E) $x = 1 + t , y = 2 , z = 4 t - 2$