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What is the standard form of the equation of the conic given by 2x^2 + 2y^2 + 4x - 12y - 22 = 0 ?
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\[2x ^{2} + 2y ^{2} + 4x - 12y - 22 = 0\]
The choices are: a. \[\frac{ (x+1)^{2} }{ 21 } - \frac{ (y-3)^{2} }{ 21 } = 1\] b. \[\frac{ (x+1)^{2} }{ 21 } + \frac{ (y-3)^{2} }{ 21 } = 1\] c. \[\frac{ (x-3)^{2} }{ 21 } + \frac{ (y+1)^{2} }{ 21 } = 1\] d. \[\frac{ (x-1)^{2} }{ 7 } + \frac{ (y+3)^{2} }{ 3 } = 1\]
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