The number of complex numbers such that

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

The number of complex numbers zz such that ∣z−1∣=∣z+1∣=∣z−i∣|z-1|=|z+1|=|z-i|, where i=−1i=\sqrt{-1}, is (1) 11 (2) 22 (3) ∞\infty (4) 00

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