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A variable complex number z=x+iy is such...

A variable complex number `z=x+iy` is such that ` arg(z-1)/(z+1)= pi/2`. Show that `x^2+y^2-1=0`.

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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