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Let S Be the Quadric Surface Given By x2+2y2+2xz=0x ^ { 2 } + 2 y ^ { 2 } + 2 x - z = 0

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Let S be the quadric surface given by x2+2y2+2xz=0x ^ { 2 } + 2 y ^ { 2 } + 2 x - z = 0 . What are the traces of S in each of the three coordinate planes?


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