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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

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

B

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

C

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

D

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

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A
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VIKAS GUPTA (BLACK BOOK) ENGLISH-BIONMIAL THEOREM-Exercise-4 : Subjective Type Problems
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