If ${\mathop{\rm Re}\nolimits} \left( {{{z - 1} \over {2z + i}}} \right) = 1$, where z = x + iy, then the point (x, y) lies on a :

Question

straight line whose slope is ${3 \over 2}$

straight line whose slope is $-{2 \over 3}$

circle whose diameter is ${{\sqrt 5 } \over 2}$

circle whose centre is at $\left( { - {1 \over 2}, - {3 \over 2}} \right)$

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