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If z=x+iy and real part ((z-1)/(2z+1))=1...

If z=x+iy and real part `((z-1)/(2z+1))=1` then locus of z is

A

circle whose diameter is `(sqrt(5))/(2)`

B

straight line whose slope is `3/2`

C

straight line whose slope is `-2/3`

D

circle whose centre is at `(-(1)/(2), -(3)/(2))` .

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The correct Answer is:
A
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