The roots of (z-1)^ n =2 (z+1)^ n (where n ≥ 3 and ω is complex cube root of unity) lie…
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
The roots of \((z-1)^{n}=2 \omega(z+1)^{n}\)(where n ≥ 3 and ω is complex cube root of unity) lie on a
- straight line
- ellipse
- circle
- rectangular hyperbola
Answer
(C) circle
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