Find the new equation of curve `12x^2+7xy-12y^2-17x-31y-7=0` after removing the first degree terms.

If first degree terms and constant term are to be removed from the equation 12x^(2)+7xy-12y^(2)-17x-31y-7=0 , then the origin must be shifted at shifted at the point .

If first degree terms and constant term are to be removed from the equation 12x^(2)+7xy-12y^(2)-17x-31y-7=0 , then the origin must be shifted at shifted at the point .

The equation 12x^(2)+7xy-12y^(2)-18x+y+6=0 represents

Choose a new origin so that the equation 2x^(2)+7y^(2)+8x-14y+15 = 0 may be translated to the which the first degree terms be missing. Find the transformed equation also.

Choose a new origin so that the equation 2x^(2)+7y^(2)+8x-14y+15 = 0 may be translated to the which the first degree terms be missing. Find the transformed equation also.

If the transformed equation of curve is 3x^(2) + xy - y^(2) - 7x + y + 7 = 0 when the axes are translated to the point (1,2) then the original equation of curve is

Factories x^(2) + 7xy - 12y^(2)

Factorize: 12x^(2)+7xy-10y^(2)