If \( A=\left\{z=x+i y /\right. \) real part of \( \left.\frac{\bar{z}-1}{z-i}=2\right\} \), the...
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0If \( A=\left\{z=x+i y /\right. \) real part of \( \left.\frac{\bar{z}-1}{z-i}=2\right\} \), then the locus of the point \( P(x, y) \) in the cartesian plane is
(A) a pair of lines passing through \( (-1,-1) \)
(B) a circle of radius \( \frac{1}{\sqrt{2}} \) and the centre \( \left(\frac{-1}{2}, \frac{3}{2}\right) \)
(C) a pair of lines passing through \( (-1,-2) \)
(D) a circle of radius \( \frac{1}{2} \)
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