Find the point at which origin is shifted such that the transformed equation of `y^(2)-4y+8x-2=0` is independent of constant term.

Find the point at which origin is shifted such that the transformed equation of x^(2)+2y^(2)-4x+4y-2=0 has no first degree term. Also find the transformed equation .

Find the point at which origin is shifted such that the transformed equation of x^(2)+2y^(2)-4x+4y-2=0 has no first degree term. Also find the transformed equation .

Find a point at which origin is shifted such that transformed equation of x^(2)+xy-3x-y+2=0 has no first degree term and constant term. Also find the transformed equation.

Find a point at which origin is shifted such that transformed equation of 2x^(2)+y^(2)-12xy+16=0 has no term containing x and constant term.

Find the point at which is shifted such that the transformed equations of the following equations has no first degree term : (i) 2x^(2)+3y^(2)+4x-12y+10=0 (ii) x^(2)+y^(2)-xy-5x+4y+5=0

On which point we shift origin so that new transformed form of the equation y^(2) + 4y + 8x-2 =0 does not contain constant term and term does not contain y ?

Find the point to which the origin should be shifted so that the equation y^(2)-6y-4x+13=0 is transformed to the form y^(2)+Ax=0