The equation of a curve referred to a given system of axes is `3x^2+2x y+3y^2=10.` Find its equation if the axes are rotated through an angle `45^0` , the origin remaining unchanged.

The equation of a curve referred to a given system of axes is 3x^(2)+2xy+3y^(2)=10 .Find its equation if the axes are rotated through an angle 45^(@) ,the origin remaining unchanged.

The equation of a curve referred to a given system of axes is 3x^(2)+2xy+3y^(2)=10 . The transformed equation of the curve. If the axes are rotated about the origin through an angle 45^(@) is 2x^(2)+y^(2)=k then k=

If the axes are rotated through an angle 180^(@) then the equation 2x-3y+4=0 becomes

Find the transformed equation of 3x^(2)+10xy +3y^(2) = 9 when the axes are rotated through an angle pi/4

Find the transformed equation of 3x^(2) + 10xy + 3y^(2) = 9 when the axes are rotated through an angle (pi)/(4)

If the transformed equation of curve is 17X^(2) - 16XY + 17y^(2) = 225 when the axes are rotated through an angle 45^(0) , then the original equation of the curve is