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

A

n

B

0

C

`(3^n-1)//2`

D

`(3^n+1)//2`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-DEMOIVRE'S THEOREM-PRACTICE EXERCISE
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