[JEE Main 2010] The number of complex numbers $z$ such that $|z-1|=|z+1|=|z-i|$ is
The number of complex numbers $z$ such that $|z-1|=|z+1|=|z-i|$ is
(a) $1$
(b) $2$
(c) $\infty$
(d) $0$
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 1mo ago
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Correct answer: (a) $1$
$|z-1|=|z+1|$ is the imaginary axis and $|z+1|=|z-i|$ is another bisector; two distinct bisectors meet in exactly one point.
JEE Main 2010 · Complex Numbers — verified solution by the Vidaara Team.
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