If `arg((z-1)/(z+1))=pi/2` then the locus of z is

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If `arg((z-1)/(z+1))=pi/2` then the locus of z is If `arg((z-1)/(z+1))=pi/2` then the locus of z is
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If `|z_1|=|z_2|` and `arg(z_1)+arg(z_2)=pi/2` then If `|z_1|=|z_2|` and `arg(z_1)+arg(z_2)=pi/2` then