If 1,z1,z2,z3,.......,z(n-1) be the n, ...

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

Similar Questions

Explore conceptually related problems

If omega is a complex nth root of unity, then underset(r=1)overset(n)(ar+b)omega^(r-1) is equal to

If the cube roots of unity are 1, omega, omega^(2) then the roots of the equation (x-1)^(3)+8=0 , are

If 1, omega omega^(2) are the cube roots of unity show that (1 + omega^(2))^(3) - (1 + omega)^(3) = 0

If 1,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 and omega are two non-zero complex numbers such that |z omega|=1" and "arg(z)-arg(omega)=(pi)/(2) , then bar(z)omega is equal to

If omega is the cube root of unity, then then value of (1 - omega) (1 - omega^(2))(1 - omega^(4))(1 - omega^(8)) is

If omega is a cube root of unity, then the value of (1 - omega + omega^2)^4 + (1 + omega - omega^2)^(4) is ……….

If omega is the complex cube root of unity then |[1,1+i+omega^2,omega^2],[1-i,-1,omega^2-1],[-i,-i+omega-1,-1]|=

Q. Let z_1 and z_2 be nth roots of unity which subtend a right angle at the origin, then n must be the form .

Let w ne pm 1 be a complex number. If |w|=1" and "z=(w-1)/(w+1) , then Re(z) is equal to