Locus of z ; if `arg(z-a)=theta` (=constant) and `agt0`

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

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

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

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

If |z-1| =1 and arg (z)=theta , where z ne 0 and theta is acute, then (1-2/z) is equal to