If and , where , then lies…

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

If

\omega=\frac{z}{z-\frac13 i}

and

|\omega|=1

, where

i=\sqrt{-1}

, then

z

lies on (1) a straight line (2) a parabola (3) an ellipse (4) a circle

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