If `1,alpha_(1),alpha_(2),.......... alpha_(2008)` are `(2009)^(th)` roots of unity, then the value of `sum_(r=1)^(2008)r(alpha_(r)+alpha_(2009-r))` equals

If 1,alpha_(1),alpha_(2),………..,alpha_(n-1) are nk^(th) roots of unity, then the value of (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))……(1-alpha_(n-1)) is equal to

If alpha_(0),alpha_(1),alpha_(2)----alpha_(n-1) be the nth roots of unity then the value of sum_(r=0)^(n-1)(alpha_(r))/(3-alpha_(r)) is

if alpha_(1),alpha_(2),.... alpha_(8) are the 8 th roots of unity then:

If n>=3 and 1,alpha_(1),alpha_(2),alpha_(3)...alpha_(n-1) are the n, nth roots of unity then find the value of sum_(1<=i

If nge3and1,alpha_(1),alpha_(2),.......,alpha_(n-1) are nth roots of unity then the sum sum_(1leiltjlen-1)alpha_(i)alpha(j)=

If 1,alpha,alpha^(2),alpha^(3),......,alpha^(n-1) are nn^(th) roots of unity,then find the value of (2011-alpha)(2011-alpha^(2))....(2011-alpha^(n-1))

If 1,alpha_(1),alpha_(2)......alpha_(n-1) are n^(th) roots of unity then (1)/(1-alpha_(1))+(1)/(1-alpha_(2))+......+(1)/(1-alpha_(n-1))=

1,alpha_(1),alpha_(2),..... alpha_(9), are the 10^(th) roots of unity. The product (2 alpha_(1)+1)(2 alpha_(2)+1)......(2 alpha_(9)+1) equals a reduced rational number (m)/(n) the value of m+n is

If 1,alpha_(1),alpha_(2),...,alpha_(n-1) are n^( th) roots of unity then (1)/(1-alpha_(1))+(1)/(1-alpha_(2))+....+(1)/(1-alpha_(n-1))=