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

The transformed equation of x^(2) + y^(2) =a^(2) when the axes are rotated through an angle 18^(@) is

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

The transferred equation of x^(2) -y^(2) +a^(2)=0 when the axes are rotated through an angle 60^(@) is

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

The transformed equation of x^(2) - 2sqrt(3)xy -y^(2) =2a^(2) when the axes are rotated through an angle 60^(@) is

The transformed equation of x^(2)//a^(2) -y^(2)//b^(2)=1 when the axes are rotated through an angle 90^(@) is

The transformed equation of x^(2) -y^(2)=a^(2) when the axes are rotated through an angle pi//4 in clockwise direction is

Find the transformed equation of x^(2)+2sqrt3 xy-y^(2) = 2a^(2) when the axes are rotated through an angle 30^(0).

Find the transformed equation of x^(2)+2sqrt3 xy-y^(2) = 2a^(2) when the axes are rotated through an angle 30^(0).

The transformed equation of 2xy + a^(2) =0 when the axes are rotated through an angle pi//4 is