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If z(1), z(2),……..,z(n) are complex numb...

If `z_(1), z_(2),……..,z_(n)` are complex numbers such that `|z_(1)| = |z_(2)| = …….. = |z_(n)| = 1`, then `|z_(1) + z_(2) +……..+ z_(n)|` is equal to a)`|z_(1)z_(2)z_(3)…..z_(n)|` b)`|z_(1)|+|z_(2)|+…….+|z_(n)|` c)`|(1)/(z_(1)) + (1)/(z_(2)) + ……….+ (1)/(z_(n))|` d)n

A

`|z_(1)z_(2)z_(3)…..z_(n)|`

B

`|z_(1)|+|z_(2)|+…….+|z_(n)|`

C

`|(1)/(z_(1)) + (1)/(z_(2)) + ……….+ (1)/(z_(n))|`

D

n

Text Solution

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The correct Answer is:
C
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