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If z is a complex number satisfying the ...

If z is a complex number satisfying the relation `|z+ 1|=z+2(1+i)`, then z is

A

`1/2 (1 + 4i)`

B

`1/2(3 + 4 i)`

C

`1/2(1-4i)`

D

`1/2(3-4i)`

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The correct Answer is:
C
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