JEE PYQ

[JEE Main 2004] if z 2 1 z 2 1 then z lies on

VAVidaara Admin Asked 2d ago 0 views 1 answer
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If $|z^2-1|=|z|^2+1$, then $z$ lies on

(a) an ellipse
(b) the imaginary axis
(c) a circle
(d) the real axis

1 Answer

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

Correct answer: (b) the imaginary axis

Squaring with $z=x+iy$ reduces to $4x^2=0$, i.e. $x=0$ — the imaginary axis.

JEE Main 2004 · Complex Numbers — verified solution by the Vidaara Team.

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