[" 7the complex number "z=1+" is rotated through angle "3 pi/2" in anticlockwise directio "],[" ibout the origin and stretched by additional "sqrt(2)" units,then the new complex number is "]

The complex number z=1+i is rotated through an angle (3 pi)/(2) in anti-clockwise direction about the origin and stretched by aditional 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

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 _______.

If z^2 = 12 sqrt(-1) , find the complex number z .

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

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

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