The complex number `z =1+i` is rotated through an angle `(3pi)/ 2` in anti-clockwise direction about the origin and stretched by additional `sqrt 2` unit, then the new complex number is:

The complex number z =1 + i is rotated through an angle 3pi//2 in anticlock wise direction about the origin and stretched by sqrt2 times , then the new complex number is

If a complex number z=1+sqrt(3)i is rotated through an angle of 120^(@) in anticlockwise direction about origin and reach at z_(1), then z_(1) is

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

The complex number 3-4i is rotated by 90^(@) in the anticlockwise direction about origin. The complex number in new position is

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

The point represented by the complex number 2-i is rotated about origin through an angle of (pi)/(2) in clockwise direction. The new position of the point is

The point represented by the complex number 2-i is rotated about origin through an angle pi/2 in the clockwise direction. the complex number corresponding to new position of the point is

The point represented by the complex nuber (2-i) is rotated about origin through an angle (pi)/(2) in the clockwise direction, the new position of point is

Let the point P represent the complex number z. If OP is turned round 0 by an angle pi/2 in the clockwise sense where 0 is the origin then in the new position P represents the complex number _______.