If the transformed equation of a curve when the origin is translated to `(1,1)` is `X^2+ Y^2+2X-Y+2=0` then the original equation of the curve is

If the transformed equation of a curve when the origin is translated to (1,1) is X_( riginal )^(2)+2X-Y+2=0 then the original equation of the curve is

If 3X^(2)+XY-Y^(2)-7X+Y+7 = 0 is the transformed equation of a curve, when the axes are translated to the point (1,2), then find the original equation of the curve.

If 3X^(2)+XY-Y^(2)-7X+Y+7 = 0 is the transformed equation of a curve, when the axes are translated to the point (1,2), then find the original equation of the curve.

If the transformed equation of curve is X^(2)+Y^(2)=4 when the axes are translated to the point (-1,2) then find the original equation of the curve.

If the transformed equation of a curve is x ^2 +y^ 2= 16 when the axes are translated to the point (- 1, 2 ) then find the original equation of the curve.

If the transformed equation of curve is X^(2)+2Y^(2)+16=0 when the axes are translated to the point (-1,2) then find the original equation of the curve.

Find the transformed equation of the curve y^(2)-4x+4y+8=0 when the origin is shifted to (1,-2) .