Let the point represent $\mathrm{z}=\mathrm{x}+\mathrm{iy} .\mathrm{x}, \mathrm{y}\in \mathrm{R}$ in the Argand plane . Let the curves ${\mathrm{C}}_1$ and ${\mathrm{C}}_2$ be the loci of P satisfying the conditions

i) $\frac{2\mathrm{z}+\mathrm{i}}{\mathrm{z}-2}$ is purely imaginary and

ii) $\mathrm{Arg}\left(\frac{\mathrm{z}+\mathrm{i}}{\mathrm{z}+1}\right)=\frac{\mathrm{\pi }}{2}$ respectively. Then the point of intersection of the curves ${\mathrm{C}}_1$ and ${\mathrm{C}}_2$, other than the origin, is