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

If 1,alpha_(1),alpha_(2),alpha_(3),alpha_(4) are the fifth roots of unity then sum_(i=1)^(4)(1)/(2-alpha_(i))=

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 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_(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 1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1) are n, nth roots of unity, then (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))...(1-alpha_(n-1)) equals to

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))=

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))=