The number of complex numbers $z$ satisfying $|z - 1| = |z + 1| = |z - i|$ is:
Step-by-Step Solution
Key Concept: Each equality is a perpendicular bisector condition. $|z - 1| = |z + 1|$ gives $\operatorname{Re}(z) = 0$; find the second condition and take the intersection.
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Correct Answer: (2)