The equation of a curve referred to a given system of axes is $3 x^{2} + 2 x y + 3 y^{2} = 10 .$ Find its equation if the axes are rotated through an angle $45^{0}$ , the origin remaining unchanged.

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The equation of a curve referred to a given system of axes is

3 x^{2} + 2 x y + 3 y^{2} = 10 .

Find its equation if the axes are rotated through an angle

45^{0}

, the origin remaining unchanged.

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The equation of a curve referred to a given system of axes is

3 x^{2} + 2 x y + 3 y^{2} = 10 .

Find its equation if the axes are rotated through an angle

45^{0}

, the origin remaining unchanged.

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