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

Question 7

Essay

Find the point(s) on the surface x2+y2+4z2=6x ^ { 2 } + y ^ { 2 } + 4 z ^ { 2 } = 6 such that the tangent plane at the point is parallel to the plane x+2y−2z=4x + 2 y - 2 z = 4

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