JEE Main 2004Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002If ∣z2−1∣=∣z∣2+1\,\left| {{z^2} - 1} \right| = {\left| z \right|^2} + 1z2−1=∣z∣2+1, then z lies on :AOption A. an ellipseBOption B. the imaginary axisCOption C. a circleDOption D. the real axisCheckSkip · show solution