The number of complex numbers z

Question:

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. $\infty$

Correct Option: , 2

Solution:

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