By translating the axes the equation xy-x+2y=6 has changed to xy=c, then c =

By translating the axes the equation xy-2x-3y-4=0 has changed to XY=k, then k=

By translation of axes the equation xy-x+2y-6=0 changed as XY=c then c=

By translation of axes the equation xy - x + 2y - 6 = 0 changed as xy = c then c =

In the xy-plane , a line that has the equation y=c for some constant c intersects a parabola at exactly one point. If the parabola has the equation y=-x^2 + 5x , what is the value of c ?

If the curve C in the xy plane has the equation x^(2)+xy+y^(2)=1, then the fourth power of the greatest distance of a point on C from the origin is

If the curve C in the xy plane has the equation x^(2)+xy+y^(2)=1, then the fourth power of the gretest distance of a point on C from the origin is "_____."

The coordinate axes are rotated through an angle theta about the origin in anticlockwise sense. If the equation 2x^(2)+3xy-6x+2y-4=0 change to ax^(2)+2hxy+by^(2)+2g x+2fy+c=0 then a+b is equal to

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

When the axes are translated to the point (5,-2) then the transformed form of the equation xy+2x-5y-11=0 is

If the origin is shifted to a point (h, k) by translation of axes in order to make the equation x^(2)+5xy+2y^(2)+5x+6y+7=0 free from first order terms, then