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Let omega be a imaginary root of x^(n)=1...

Let `omega` be a imaginary root of `x^(n)=1`. Then `(5- omega)(5- omega^2)"………"(5-omega^(n-1))` is

A

`1`

B

`(5^(n)+1)/(4)`

C

`4^(n-1)`

D

`(5^(n)-1)/(4)`

Text Solution

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The correct Answer is:
D
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