If the origin is shifted to `(1,-2)` and axis are rotated through an angle of `30^@` the co-ordinate of `(1,1)` in the new position are

If the axes are rotated through an angle 30^(@), the coordinates of (2sqrt(3),-3) in the new system are

If the origin is shifted to (h,k) and the axes are rotated through an angle theta ,then the co-ordinates of a point P(x,y) are transformed as P(X,Y)=

The co-ordinates of a point P referred to a rectangular co-ordinate system where O is the origin are (1,-2). The axes are rotated about O through an angle theta. If the co-ordinates of P in the new system are (k-1,k+1), then k^(2) is equal

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 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.

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

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

The point (4,3) when the axes translated to the point (3,1) and then axes are rotated through 30^(@) about the origin,then the new position of the point is

The line joining the points A(2,0) and B(3,1) is rotated through an angle of 45^@ about A in the anticlock- wise direction The coordinates of B in the new position