If the coordiantes of a point P are transformed to `(2,-4sqrt(3))` when the axes are rotated through an angle `60^(@)`, then P=

If the coordinates of a pont P are transformed to (sqrt(2), - sqrt(2)) when the axes are rotated through an angle 45^(@) , then P

If the coordinates of a point P are transformed to (4,-3) when the axes are rotated through an angle of 135^(0) , then find P.

If the coordinates of a point P are transformed to (4, -3) when the axes are rotated through an angle of 135^(0) , then find P.

If the coordinates of a point P changes to (2,-6) when the coordinate axes are rotated through an angle of 135^(@) , then the coordinates of P in the original system are

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