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 $x + 2 y - 2 z = 4$

Name: 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 $x + 2 y - 2 z = 4$
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The Answer of 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 $x + 2 y - 2 z = 4$

Find the Point(s) on the Surface x2+y2+4z2=6x ^ { 2 } + y ^ { 2 } + 4 z ^ { 2 } = 6x2+y2+4z2=6

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