Locus of z ; if `arg(z)=theta` (=constant)

Locus of z; if arg(z)=theta(= cons tan t)

Trace the locus of z if arg(z+i)=(-pi)/(4)

If arg(z) = theta , then arg(bar z) =

Locus of z if arg[z-(1+i)]={(3 pi)/(4) when |z| |z-4| is

Statement-1 : The locus of z , if arg((z-1)/(z+1)) = pi/2 is a circle. and Statement -2 : |(z-2)/(z+2)| = pi/2 , then the locus of z is a circle.

Statement-1 : The locus of z , if arg((z-1)/(z+1)) = pi/2 is a circle. and Statement -2 : |(z-2)/(z+2)| = pi/2 , then the locus of z is a circle.

Find the locus of z if arg ((z-1)/(z+1))= pi/4