For each of the following, write the equation in terms of new variables so that it is

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For each of the following, write the equation in terms of new variables so that it is in standard position, and identify the curve.
(a) xy = 1
(b) 3x2 - 4xy = 2
(c) 6x2 + 6xy - 2y2 = 5
(d) 2x2 + 4xy + 5y2 = 1
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