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If `1,alpha_1,alpha_2,alpha_3,alpha_4` be the roots `x^5-1=0`, then value of `[omega-alpha_1]/[omega^2-alpha_1].[omega-alpha_2]/[omega^2-alpha_2].[omega-alpha_3]/[omega^2-alpha_3].[omega-alpha_4]/[omega^2-alpha_4]` is (where `omega` is imaginary cube root of unity)

A

1

B

`omega`

C

`omega^(2)`

D

None of these

Text Solution

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The correct Answer is:
B
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