If the axes are rotated through an angle `45^(@)` in the positive direction without changing the origin, then the coordinates of the point `(sqrt(2),4)` in the old system are

When axes are rotated through an angle of 45^(@) in positive direction without changing origin then the coordinates of (sqrt(2),4) in old system are

If the axes are rotated through an angle 180^(@) in the positive direction, the new coordinates of (x,y) 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 angle theta without changing the position of the origin,then the transformation is called.

If z=sqrt(2)- isqrt(2) si rotated through an angle 45^(@) in the anti-clockwise direction about the origin, then the co-ordianates of its new position are

If the axes are rotated through an angle 45^(@) and the point P has new coordinates (2sqrt(2),sqrt(2)) then original coordinates of

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 60^(0) , fine the coordinates of the point (6sqrt3,4) in the new system.

If the axes are rotated through an angle 60^(0) , fine the coordinates of the point (6sqrt3,4) in the new system.