Find the Point(s) on the Surface $x ^ { 2 } + y ^ { 2 } + 4 z ^ { 2 } = 6$

question 7

Essay

Find the point(s) on the surface $x ^ { 2 } + y ^ { 2 } + 4 z ^ { 2 } = 6$ such that the tangent plane at the point is parallel to the plane $x + 2 y - 2 z = 4$