If the axes are rotated through an angle of `45^(@)` in the clockwise direction, the coordinates of a point in the new systeme are (0,-2) then its original coordinates are

If the axes are rotated through an angle 45^(0) in the anti-clockwise direction, the coordinates of (sqrt(2), - sqrt(2)) in the new system are

If the axes are rotated through an angle of 30^(@) in the clockwise direction, the point (4,-2 sqrt3) in the new system was formerly

If the axes are rotated through an angle 180^(@) in the positive direction, the new coordinates of (x,y) are

If the axes are rotated through an angle of 30^@ in the anti clockwise direction, then coordinates of point (4,-2sqrt3) with respect to new axes are

If the axes are rotated through an angle of 30^(@) in the anti clockwise direction,then coordinates of point (4,-2sqrt(3)) with respect to new axes are

If origin is shifted to the point (2,3) and the axes are rotated through an angle pi//4 in the anticlokwise direction, then find the coordinates of the point (7, 11) in the new system of coordinates.

If the axes are rotated through an angles 30° in the anticlockwise direction and the point is (4, -2 sqrt3) in the new system, the formal point is

The coordinate axes are rotated through an angle 135^(@) . If the coordinates of a point P in the new system are known to be (4,-3) , then the coordinates of P in the original system are

The coordinates of the point (4,5) in the new system,when its origin is shifted to (3,7) are

The coordinates of the point (4,5) in the new system,when its origin is shifted to (3,7) are