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A complex number z is rotated in anticlo...

A complex number z is rotated in anticlockwise direction by an angle `alpha` and we get `z'` and if the same complex number z is rotated by an angle `alpha` in clockwise direction and we get `z''`then

A

`z', z, z^('')` are in G. P.

B

`z^(2) + z'^(2)= 2z^2 cos 2alpha`

C

`z ' + z'' = 2z cos alpha`

D

`z', z,z''` are in H. P.

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