If the complex numbers z1,z2,z3 represents vertices of a triangle ABC – InterviewSolution

1.	If the complex numbers z1,z2,z3 represents vertices of a triangle ABC satisfy the equation z3 = 1. If there is a complex number z0 satisfying 1z0−z1+1z0−z2+1z0−z3 = 0 then z0 is
Answer» If the complex numbers $z_{1}, z_{2}, z_{3}$ represents vertices of a triangle ABC satisfy the equation $z^{3}$ = 1. If there is a complex number $z_{0}$ satisfying $\frac{1}{z_{0} - z_{1}} + \frac{1}{z_{0} - z_{2}} + \frac{1}{z_{0} - z_{3}}$ = 0 then $z_{0}$ is

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