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 . 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

The transformed equation of x^(2)+6xy+8y^(2)=10 when the axes are rotated through an angled pi//4 is

If the transformed equation of a curve is X^(2)+2sqrt(3)XY-Y^(2)=2a^(2) ,when the axes are rotated through an angle of 60^(@) ,then the original equation

The transformed equation of x^(2)+y^(2)=r^(2) when the axes are rotated through an angle 36^(@) is

The transformed equation of 3x^(2)+3y^(2)+2xy-2=0 when the coordinats axes are rotated through an angle of 45^(@) , is

The transformed equation of the curve 3x^(2)+10xy+3y^(2)=9 when the axes are rotated through an angle is Ax^(2)+By^(2)=9 then A+B=

The transformed equation of curve x^(2)+2sqrt(3)xy-y^(2)-8=0, when the axes are rotated through an angle (pi)/(6) is