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Find the Points on the Hyperboloid of One Sheet x2+y2−z2=1x ^ { 2 } + y ^ { 2 } - z ^ { 2 } = 1

Question 21

Essay

Find the points on the hyperboloid of one sheet x2+y2−z2=1x ^ { 2 } + y ^ { 2 } - z ^ { 2 } = 1 where the tangent plane is parallel to the plane 2x−y+z=32 x - y + z = 3 .

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