If ,Z1,Z2,Z3,........Z(n-1) are n^(th) ...

If `,Z_1,Z_2,Z_3,........Z_(n-1)` are `n^(th)` roots of unity then the value of `1/(3-Z_1)+1/(3-Z_2)+..........+1/(3-Z_(n-1))` is equal to

A

`(n*3^(n-1))/(3^(n)-1)+(1)/(2)`

B

`(n*3^(n-1))/(3^(n)-1)-1`

C

`(n*3^(n-1))/(3^(n)-1)+1`

D

None of these

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The correct Answer is:

D

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