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If alpha,beta and gamma are the roots of...

If `alpha,beta` and `gamma` are the roots of `x^(3)-3x^(2)+3x+7`, where `omega` is a cube root of unity, then
`(alpha-1)/(beta-1)+(beta-1)/(gamma-1)+(gamma-1)/(alpha-1)` equals :

A

`omega^(2)`

B

`2omega^(2)`

C

`3omega^(2)`

D

`(3)/(omega)`

Text Solution

Verified by Experts

The correct Answer is:
C
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