[JEE Advanced 1981] the complex numbers z x iy satisfying z 5i z 5i 1 lie on
The complex numbers $z=x+iy$ satisfying $\left|\dfrac{z-5i}{z+5i}\right|=1$ lie on
(a) the $x$-axis
(b) the line $y=5$
(c) a circle through the origin
(d) none of these
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 4d ago
▲ 0
Correct answer: (a) the $x$-axis
$|z-5i|=|z+5i|$ means $z$ is equidistant from $5i$ and $-5i$, i.e. the perpendicular bisector — the real ($x$) axis.
JEE Advanced 1981 · Complex Numbers — verified solution by the Vidaara Team.
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