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If `1, alpha_(1), alpha_(2), alpha_(3), alpha_(4)` are the roots of `z^(5)-1=0`, then the 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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