Find the point to which the origin should be shifted after a translation of axes , so that the equation `3x^(2)+8xy+3y^(2)-2x+2y-2=0` will have no first degree terms.

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 axes so that the following equations will have no first degree terms : 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 term: 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 term: 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

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 term: x^2-12 x+4=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: x^(2)-12x+4=0