If the roots of `(z-1)^n=2w(z+1)^n` (where `n>=3` & w complex cube root of unity) are plotted in argand plane, these roots lie on

The roots of (z-1)^n=i(z+1)^n are plotted on the argand plane they are

If the roots of (z-1)^(n)=i(z+1)^(n) are plotted on the argand plane, they are

If the roots of (z-1)^n=i(z+1)^n are plotted in an Argand plane, then prove that they are collinear.

If omega is the complex cube root of unity, then find omega+1/omega

If omega is a complex cube root of unity, then (1+omega^2)^4=

If the roots of (z-1)^(n)=i(z+1)^(n) are plotted in an Argand plane,then prove that they are collinear.

If omega is a complex cube root of unity, then find the values of: omega + 1/omega

If omega is a complex cube root of unity, then (1-omega+(omega)^2)^3 =

If z=omega,omega^2 where omega is a non-real complex cube root of unity, are two vertices of an equilateral triangle in the Argand plane, then the third vertex may be represented by a, z=1 b. z=0 c. z=-2 d. z=-1