Let $\mathrm{z}=\mathrm{x}+\mathrm{iy}$ be a non-zero complex number such that $\mathrm{z}^{2}=\mathrm{i}|\mathrm{z}|^{2}$, where $\mathrm{i}=\sqrt{-1}$, then z lies on the: (1) line, $y=-x$ (2) imaginary axis (3) line, $y=x$ (4) real axis
Let $\mathrm{z}=\mathrm{x}+\mathrm{iy}$ be a non-zero complex number such that $\mathrm{z}^{2}=\mathrm{i}|\mathrm{z}|^{2}$, where $\mathrm{i}=\sqrt{-1}$, then z lies on the:\\
(1) line, $y=-x$\\
(2) imaginary axis\\
(3) line, $y=x$\\
(4) real axis