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If z=x+i y is a variable complex number ...

If `z=x+i y` is a variable complex number such that arg `((z-1)/(z+1))=(pi/4)`, then

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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