find what the following equation becomes when the origin is shifted to the point(1,1)

x^{2}+xy-3y^{2}-y+2=0

When origin is shifted to the point (1,1), then

Substituting the above value in the given equation, we get

Thus, new equation of the curve will be

Note- When the origin is shifted to the point (h,k) without changing the direction of axes, new equation of the curve can be directly obtained by putting (x+h) in place of x and (y+k) in place of y in the given equation of the curve.

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