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+4i)`

C

`(1/2)(1-4i)`

D

`(1/2)(3-4i)`

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The correct Answer is:

D

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