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If z=x+iyandw=(1-iz)/(z-i) such that |w|...

If `z=x+iyandw=(1-iz)/(z-i)` such that `|w|=1`, then show that z is purely real.

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The correct Answer is:
`:.z=x+iy=x+i.0=x` , where `x""inRR`
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