The locus of the curve \(\operatorname{Im}\left(\frac{\pi(z-1)-1}{z-1}\right)=1\) in the complex z-plane is a circle centred at (x0, y0) and radius R. The values of (x0, y0) and R. respectively, are
1
\(\left(1, \frac{1}{2}\right)\) and \(\frac{1}{2}\)
2
\(\left(1,- \frac{1}{2}\right)\) and \(\frac{1}{2}\)
3
(1, 1) and 1
4
(1, -1) and 1