Keeping the origin constant axes are rotated at an angle `30^@` in anticlockwise direction then new coordinate of (2, 1) with respect to old axes is

Keeping the origin constant axes are rotated at an angle 30^(@) in clockwise direction,then coordinates of (2,1) with respect to old axes is

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 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,-2sqrt(3)) with respect to new axes are

If the axes are rotated through 60^@ in anticlockwise direction about origin. Find co-ordinates of point(2,6) in new co-ordinate axes.

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 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

A point (1, 1) undergoes reflection in the x-axis and then the coordinates axes are rotated through an angle of pi/4 in anticlockwise direction. The final position of the point in the new coordinate system is