The number of complex numbers \( \mathrm{z} \) such that \( |\mathr...

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The number of complex numbers \( \mathrm{z} \) such that \( |\mathrm{z}-1|=|\mathrm{z}+1|=|\mathrm{z}-\mathrm{i}| \) equals
(1) 0
(2) 1
(3) 2
\( (4) \infty \)
\( \mathrm{P} \)
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