If \[|{{z}^{2}}-1|\,=\,|z{{|}^{2}}+1\], then \[z\]lies on [AIEEE 2004]

1.	If \[\|{{z}^{2}}-1\|\,=\,\|z{{\|}^{2}}+1\], then \[z\]lies on [AIEEE 2004]
A.	An ellipse
B.	The imaginary axis
C.	A circle
D.	The real axis
Answer» C. A circle

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If \[|{{z}^{2}}-1|\,=\,|z{{|}^{2}}+1\], then \[z\]lies on [AIEEE 2004]

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