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If z = x + iy and arg ((z-1)/(z+1))=(pi)...

If `z = x + iy` and arg `((z-1)/(z+1))=(pi)/(4)`, then the locus of `(x, y)` is

A

an ellipse

B

straight line

C

a circle with centre (0, 1)

D

a circle with centre (1, 0)

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