Explain how to rotate axes to eliminate xy term for equation


Jose and Aparna were trying to rotate axes to eliminate xy term for equation x^2+2xy+3y^2-4x+5y-30. Jose used a=-pi/8 and Aparna a=3pi/8 used. Students got different equations in x' and y', but both were right. Describe how this is possible.

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Mathematics: Explain how to rotate axes to eliminate xy term for equation
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