If `alpha` is an imaginary root of `z^n -1=0` then `1+alpha+alpha^2+………_+alpha^(n-1)=` (A) 1 (B) -1 (C) 0 (D) 2

If alpha is an n^(th) roots of unity, then 1+2alpha+3alpha^(2)+……..+nalpha^(n-1) equals

If alpha is an imaginary fifth root of unity, then log_(2)|1+alpha+alpha^(2)+alpha^(3)-1/alpha|=

If alpha , beta are the roots of x^2-p(x+1)+c=0 then (1+alpha )( 1+ beta )=

if alpha and beta are imaginary cube root of unity then prove (alpha)^4 + (beta)^4 + (alpha)^-1 . (beta)^-1 = 0

If alpha , beta are the roots of ax^2+bx +c=0 then (1+ alpha + alpha ^2)(1+ beta + beta ^2) is

Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alpha in RR then alpha is equal to (A) 2 (B) 1 (C) sqrt2 (D) sqrt3

If 1,alpha_1, alpha_2, …alpha_(n-1) be nth roots of unity then (1+alpha_1)(1+alpha_2)……....(1+alpha_(n-1))= (A) 0 or 1 according as n is even or odd (B) 0 or 1 according as n is odd or even (C) n (D) -n

(i) If alpha , beta be the imaginary cube root of unity, then show that alpha^4+beta^4+alpha^-1beta^-1=0

Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alphaepsilonR then alpha is equal to (A) 2 (B) 1 (C) sqrt2 (D) sqrt3

If alpha is a non-real fifth root of unity, then the value of 3^(|1+alpha+alpha^(2),alpha^(-2)-alpha^(-1)| , is