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If `omega_0 , omega_1 , ………, omega_( n - 1)` are the nth roots of unity then `(1 + 2 omega_0) ( 1 + 2 omega_1) (1 + 2 omega_2)…..(1 + 2omega_(n - 1) ) = `

A

`1 + (-1)^n 2^n`

B

`1 + 2^n`

C

`(-1)^n + 2^n`

D

`1 + (-1)^(n-1) 2^n`

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The correct Answer is:
D
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