Q.If $z$ is a complex number such that $|z^2 + 1| = |z|^2 + 1$ and $z \ne \pm i$ , then $z$ lies on

the real axis

the imaginary axis

the line

y = x

the line

y = -x

The correct solution involves applying the fundamental concept to derive the final value step by step...

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Q.If zzz is a complex number such that ∣z2+1∣=∣z∣2+1|z^2 + 1| = |z|^2 + 1∣z2+1∣=∣z∣2+1 and z≠±iz \ne \pm iz=±i, then zzz lies on