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

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

Locus of z; if (z-a)=theta(= cons tan t) and a>0

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

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

If arg (z)lttheta , then arg (-z)-arg (z)=

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.