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Let w = (sqrt 3/2 + iota/2) and P = { w^...

Let w = (`sqrt 3/2 + iota/2)` and `P = { w^n : n = 1,2,3, ..... },` Further `H_1 = { z in C: Re(z) > 1/2} and H_2 = { z in c : Re(z) < -1/2}` Where C is set of all complex numbers. If `z_1 in P nn H_1 , z_2 in P nn H_2` and O represent the origin, then `/_Z_1OZ_2` =

A

`pi/2`

B

`pi/6`

C

`(2pi)/(3)`

D

`(5pi)/(6)`

Text Solution

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The correct Answer is:
C
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