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if z(1),z(2),z(3),…..z(n) are complex n...

if ` z_(1),z_(2),z_(3),…..z_(n)` are complex numbers such that ` |z_(1)|=|z_(2)| =….=|z_(n)| = |1/z_(1) +1/z_(2) + 1/z_(3) +….+1/z_(n)| =1`
Then show that `|z_(1) +z_(2) +z_(3) +……+z_(n)|=1`

A

equal to 1

B

less than 1

C

greater than 3

D

equal to 3

Text Solution

Verified by Experts

The correct Answer is:
A
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