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The transformed equation of `x^(2)+6xy+8y^(2)=10` when the axes are rotated through an angled `pi//4` is
A. `15x^(2)-14xy+3y^(2)=20`
B. `15x^(2)+14xy-3y^(2)=20`
C. `15x^(2)+14xy+3y^(2)=20`
D. `15x^(2)-14xy-3y^(2)=20`

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