if the complex number z=x+iy is taken such that the amplitude of fract

1.	if the complex number z=x+iy is taken such that the amplitude of fraction z-1/z+1 is always π/4, prove that x^2+y^2-2y=1.
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if the complex number z=x+iy is taken such that the amplitude of fraction z-1/z+1 is always π/4, prove that x^2+y^2-2y=1.

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here is your answer CHECK

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if the complex number z=x+iy is taken such that the amplitude of fraction z-1/z+1 is always π/4, prove that x^2+y^2-2y=1.​

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if the complex number z=x+iy is taken such that the amplitude of fraction z-1/z+1 is always π/4, prove that x^2+y^2-2y=1.