JEE PYQ

[JEE Main 2005] if omega z z i3 and omega 1 then z lies on

VAVidaara Admin Asked 2d ago 0 views 1 answer
#PYQJEE#JEE#JEE Main#2005#locus-argand#Complex Numbers

If $\omega=\dfrac{z}{z-\frac i3}$ and $|\omega|=1$, then $z$ lies on

(a) an ellipse
(b) a circle
(c) a straight line
(d) a parabola

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Correct answer: (c) a straight line

$|z|=\left|z-\frac i3\right|$ means $z$ is equidistant from $0$ and $\frac i3$ — the perpendicular bisector, a straight line.

JEE Main 2005 · Complex Numbers — verified solution by the Vidaara Team.

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