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If `alpha_(1), alpha_(2), …….., alpha_(n)` are the `n,n^(th)` roots of unity, `alpha_(r )=e (i2(r-1)pi)/(n), r=1,2,…n` then `""^(n)C_(1)alpha_(1)+""^(n)C_(2)alpha_(2)+…..+""^(n)C_(n)alpha_(n)` is equal to :

A

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

B

`(alpha_(1))/(2)[(1+alpha_(1))^(n)-1]`

C

`(alpha_(1)+alpha_(n-1)-1)/(2)`

D

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

Text Solution

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The correct Answer is:
A
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  12. In the polynomial function f(x)=(x-1)(x^(2)-2)(x^(3)-3)……..(x^(11)-11...

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