By using translation of axes, eliminate the terms linear in x and y from the equation.`x^2+2y^2+2x-12y+15=0`

When the origin is shifted to (-1,2) by the translation of axes, find the transformed equation x^2+y^2+2x-4y+1=0 .

The point to which the axes are to translated to eliminate y term and constant term in the equation y^(2) + 8x+ 4y-2=0 is

The point to which the axes to be translated to eliminate x and y terms in the equation 3x^(2) - 4xy - 2y^(2)-3x -2y-1=0 is

The point to which the axes should be translated to eliminate first degree terms in the equation 2x^2-2y^2+z^2-4x+8y+2z-5=0 is

The point to which the axes should be translated to eliminate first degree terms in the equation 2x^(2)-2y^(2)+z^(2)-4x+8y+2z-5=0 is

When the origin is shifted to (-1,2) by the translation of axes, find the transformed equation of 2x^2+y^2-4x+4y=0

The point to which the origin should be shifted in order to eliminate x and y terms in the equation 2x^(2) - 3y^(2) - 12x - 6y +5=0 is