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IF Z ne +-1 is a complex number and Arg ...

IF Z `ne +-1` is a complex number and Arg `((Z-1)/(Z+1))= (pi)/(4)` then the locus of Z in the Arg and plane is

A

`x^(2)+y^(2)-2y-1=0`

B

`x^(2)+y^(2)+2y-1=0`

C

`x^(2)+y^(2)-2x+1=0`

D

`x^(2)+y^(2)+2x+1=0`

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The correct Answer is:
A
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