Transform the equation to a form without an xy-term by a rotation of axes and then identify the curve.x2 + 2xy + y2 - 4x + 4y = 0

A. x'2 + 2y' = 0; parabola
B. x'2 + 2y' = 0; ellipse
C. x'2 - 2y'2 = 0; hyperbola
D. x'2 - 2y' = 0; parabola


Answer: A

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