If z is a non real cube root of unity, then `(z+z^(2)+z^(3)+z^(4))^(9)` is equal to

If z=3-4i then z^(4)-3z^(3)+3z^(2)+99z-95 is equal to

If 1,z_(1),z_(2),z_(3).....z_(n-1) be n^(th) roots if unity and w be a non real complex cube root of unity, then prod_(r=1)^(n-1)(w-z_(r)) can be equal to

If omega is non-real cube roots of unity,then prove that |(x+y omega+z omega^(2))/(xw+z+y omega^(2))|=1

If 1,z_(1),z_(2),z_(3),......,z_(n-1) be the n, nth roots of unity and omega be a non-real complex cube root of unity,then prod_(r=1)^(n-1)(omega-z_(r)) can be equal to

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

Let z_(1) and z_(2) be two nonreal complex cube roots of unity and (|z-z_(1)|)^(2)+(|z-z_(2)|)^(2)=lambda be the equation of the circle with z_(1),z_(2) as diameter then value of lambda is

If omega ne 1 is a cube root of unity and |z-1|^(2) + 2|z-omega|^(2) = 3|z - omega^(2)|^(2) then z lies on

Area of triangle formed by the vertices z,omega z and z+omega z is (4)/(sqrt(3)),omega is complex cube roots of unity then |z| is (A)1(B)(4)/(3)(C)(3)/(4) (D) (4)/(sqrt(3))