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

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

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

Represents the variable complex number z . Find the locus of P if arg((z-1)/(z+3))=(pi)/(2) .

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.

The locus of z such that arg[(1-2i)z-2+5i]= (pi)/(4) is a