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If 1,alpha1,alpha2,…..alpha(n-1) are the...

If `1,alpha_1,alpha_2,…..alpha_(n-1)` are the `n^(th)` roots of unity then `(1-alpha_1)(1-alpha_2)…..(1-alpha_(n-1))=`

A

n-1

B

n

C

-1

D

1

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • 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

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    n
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    D
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  • If 1,alpha_1,alpha_2,…..alpha_(n-1) are the n^(th) roots of unity and n is an odd natural number then (1+alpha_1)(1+alpha_2)…..(1+alpha_(n-1))=

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