Cube Root of unity

The points representing cube roots of unity

The sum and product of cube roots of unity is 0 and 1.

Intro, Replesentation, Loues, Cube Roots of Unity Inequation

Which one of the following is correct in respect of the cube roots of unity?

If a and b are imaginary cube roots of unity, then alpha^(n)+beta^(n) is equal to

Find the equation of the circle in argand plane which passes through non real cube roots of unity and touches two sides of triangle with vertices as cube roots of unity