Transform to axes inclined at `45^@` to the original axes for the equation `17x^2-16xy+17y^2=225` is

13.When the axes are rotated through an angle 45^@ , the transformed equation of a curve is 17x^(2)-16xy+17y^(2)=225 .Find the original equation of the curve.

When the axes are rotated through an angle 45^@ , the transformed equation of a curve is 17x^2-16xy+17y^2=225 . Find the original equation of the curve.

If the axes are turned through 45^(@) , find the transformed form of the equation 3x^(2)+3y^(2)+2xy=2 .

If the axes are turned through 45^(@) , find the transformed form of the equation 3x^(2)+3y^(2)+2xy=2 .

The Curve represented by the equation 2x^(2)+xy+6y^(2)-2x+17y-12=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