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If origin is shifted to the point (-1,2)...

If origin is shifted to the point `(-1,2)` then what will be the transformed equation of the curve `2x^(2)+y^(2)-3x+4y-1=0` in the new axes ?

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If the origin is shifted to the point (1,2) then what will be the transform equation of the following equations, it is given that the new and old axes are parallel : (i) x^(2)+y^(2)-2x-4y=0 (ii) 2x^(2)-y^(2)-4x+4y-3=0 (iii) x^(2)+xy-2y^(2)-4x+7y-5=0 (iv) 3x+y=6

When the origin is shifted to the point (2 , 3) the transformed equation of a curve is x^(2) + 3xy - 2y^(2) + 17 x - 7y - 11 = 0 . Find the original equation of curve.