If `1,alpha_1,alpha_2,alpha_3,.........,alpha_(3n)` be the roots of the eqution `x^(3n+1) - 1 =0`, and w be an imaginary cube root of unity, then `((w^2-alpha_1)(w^2-alpha_2)....(w^(3n)-alpha_(3n))) /((w-alpha_1)(w2-alpha)....(w-alpha_(3n)))`

if 1,alpha_1, alpha_2, ……alpha_(3n) be the roots of equation x^(3n+1)-1=0 and omega be an imaginary cube root of unilty then ((omega^2-alpha_1)(omega^2-alpha).(omega^2-alpha(3n)))/((omega-alpha_1)(omega-alpha_2)……(omega-alpha_(3n)))= (A) omega (B) -omega (C) 1 (D) omega^2

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

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

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

If alpha is an imaginary cube root of unity,then for n in N , the value of (alpha)^(3n+1)+(alpha)^(3n+3)+(alpha)^(3n+5) is

If alpha_(1),alpha_(2),alpha_(3)......alpha_(n) are roots of the equation f(x)=0 then (-alpha_(1),-alpha_(2),-alpha_(3),......alpha_(n)) are the roots of

If 1,alpha_1,alpha_2,…..alpha_(n-1) are the n^(th) roots of unity then (1-alpha_1)(1-alpha_2)…..(1-alpha_(n-1))=

If 1,alpha_1, alpha_2, …alpha_(n-1) be n, nth roots of unity show that (1-alpha_1)(1-alpha_2).(1-alpha(n-1)=m

If 1,alpha_(1),alpha_(2),alpha_(3),alpha_(4) be the roots x^(5)-1=0 then value of -alpha_(2)(omega-alpha_(1))/(omega^(2)-alpha_(1))*(omega-alpha_(2))/(omega^(2)-alpha_(2))*(omega-alpha_(3))/(omega^(2)-alpha_(3))*(omega-alpha_(4))/(omega^(2)-alpha_(4)) is (where omega is imaginary cube root of unity)