If a complex number Z satisfies $∣ z^{2} - 1∣ = ∣ z ∣^{2} + 1$ then z lies on __

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If a complex number Z satisfies

∣ z^{2} - 1∣ = ∣ z ∣^{2} + 1

then z lies on __

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Question Text

If a complex number Z satisfies

∣ z^{2} - 1∣ = ∣ z ∣^{2} + 1

then z lies on __

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