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When the origin is shifted to (-1,2) by ...

When the origin is shifted to (-1,2) by the translation of axes, find the transformed equation `x^2+y^2+2x-4y+1=0`.

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When the origin is shifted to (-1,2) by the translation of axes, find the transformed equation of 2x^2+y^2-4x+4y=0

When the origin is shifted to (1, -2) by translation of coordinate axes, the transformed coordinates of (3.-2) are (alpha , beta) If the axes are rotated about origin through an angle of 45^@ after the translation, then the transformed coordinates of (alpha , beta) are