If A = \(\rm \left \{z=x+iy/real \ part of \frac{\bar z -1}{z-i}=2 \right \}\), then the locus of the point P(x, y) in the cartesian plane is
1
a pair of lines passing through (-1, -1)
2
a circle of radius \(\frac{1}{\sqrt2}\) and the centre \(\left(\frac{-1}{2},\frac{3}{2}\right)\)
3
a pair of lines passing through (-1, -2)
4
a circle of radius \(\frac{1}{2}\)