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

Find the transformed equation of x^(2) + 2 sqrt(3) xy - y^(2) = 2a^(2) when the axes are rotated through an angle 30^(0)

.Find the transformed equation of x^(2)+2sqrt(3)xy-y^(2)=2a^(2) .When the axes are rotated through an angle 30^(@)

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 9x^(2) + 2sqrt(3)xy + 7y^(2)=10 when the axes are rotated through an angle pi//6 is

If the transferred equation of a curve is x^(2) + 2sqrt(3)xy - y^(2) = 2a^(2) when the axes are rotated through an angle 60^(@) , then the original equation of the curve is

If the transferred equation of a curve is x^(2) + 2sqrt(3)xy - y^(2) = 2a^(2) when the axes are rotated through an angle 60^(@) , then the original equation of the curve is

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

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