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If z1 , z2, z3 are complex numbers such ...

If `z_1 , z_2, z_3` are complex numbers such that `|z_1|= |z_2| = |z_3|= |(1)/(z_1) + (1)/(z_2) + (1)/(z_3)|=1,` then `[ (1+ i)^(n_1) + (1-i)^(n_1)] + [ (1+ i)^(n_2) + (1-i)^(n_2)]` is

A

equal to 1

B

less than one

C

greater than 3

D

equal to 3

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The correct Answer is:
A
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