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If 1,alpha(1),alpha(2),………..,alpha(n-1) ...

If `1,alpha_(1),alpha_(2),………..,alpha_(n-1)` are `nk^(th)` roots of unity, then the value of
`(1-alpha_(1))(1-alpha_(2))(1-alpha_(3))……(1-alpha_(n-1))` is equal to

A

n

B

`-n`

C

`(1)/(2){1-(-1)^(n)}`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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