If `z_(0), z_(1),z_(2),...,z_(5)` be `6^(th)` roots of unity where `z_(0)=1` then the value of `(1)/(3)(2+z_(1))(2+z_(2))...(2+z_(5))` is...

If ,Z_(1),Z_(2),Z_(3),.........Z_(n-1) are n^(th) roots of unity then the value of (1)/(3-Z_(1))+(1)/(3-Z_(2))+.........+(1)/(3-Z_(n-1)) is equal to

If z_(1),z_(2),z_(3),…………..,z_(n) are n nth roots of unity, then for k=1,2,,………,n

If z_(1),z_(2),z_(3) are the vertices of an equilateral triangle,then value of (z_(2)-z_(3))^(2)+(z_(3)-z_(1))^(2)+(z_(1)-z_(2))^(2)

If z_(1),z_(2),z_(3),z_(4) are the roots of the equation z^(4)+z^(3)+z^(2)+z+1=0, then the least value of [|z_(1)+z_(2)|]+1 is (where [.] is GIF.)

If z_(1) and z_(2) are two n^(th) roots of unity, then arg (z_(1)/z_(2)) is a multiple of

1,z_(1),z_(2),z_(3),......,z_(n-1), are the nth roots of unity, then (1-z_(1))(1-z_(2))...(1-z_(n-1)) is

If z_(1),z_(2),z_(3),z_(4) are the roots of equation z^(4)+z^(3)+z^(2)+z+1=0, then prod_(i=1)^(4)(z_(i)+2)

If z_(1) + z_(2) + z_(3) = 0 and |z_(1)| = |z_(2)| = |z_(3)| = 1 , then value of z_(1)^(2) + z_(2)^(2) + z_(3)^(2) equals

If z_(1),z_(2),z_(3) are any three roots of the equation z^(6)=(z+1)^(6), then arg((z_(1)-z_(3))/(z_(2)-z_(3))) can be equal to