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+A x=0.`

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

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

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

Find the point to which the origin should be shifted so that the equation 3y^(2)+6y-5x-7=0 is reduced to the form y^(2)=ax .

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 to which the origin should be shifted after a translation of axes so that the following equations will have no first degree term: y^2+x^2-4x-8y+3=0

Find the point to which the origin should be shifted after a translation of axes so that the following equations will have no first degree term: y^(2)+x^(2)-4x-8y+3=0

Find the point to which the origin should be shifted after a translation of axes so that the following equations will have no first degree terms : x^2+y^2- 4x - 8y + 3 = 0 .

Find the point to which the origin should be shifted after a translation of axis so that the following equations will have no first degree terms : (i) x^(2)+y^(2)-4x-8y+3=0 , (ii) x^(2)+y^(2)-5x+2y-5=0

Find the point to which the origin should be shifted after a translation of axes so that the following equations will have no first degree terms : (i) x^(2)+y^(2)-5x+2y-5=0 (ii) x^(2)+y^(2)-4x-8y+3=0