JEE Math Practice Question
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 :
- A.straight line whose slope is $${3 \over 2}$$
- B.straight line whose slope is $$-{2 \over 3}$$
- C.circle whose diameter is $${{\sqrt 5 } \over 2}$$
- D.circle whose centre is at $$\left( { - {1 \over 2}, - {3 \over 2}} \right)$$
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