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Find the Points on the Ellipsoid x2+2y2+z2=7x ^ { 2 } + 2 y ^ { 2 } + z ^ { 2 } = 7

Question 123

Essay

Find the points on the ellipsoid x2+2y2+z2=7x ^ { 2 } + 2 y ^ { 2 } + z ^ { 2 } = 7 where the tangent plane is parallel to the plane 2x+2yz=0- 2 x + 2 y - z = 0 .

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