If `|z^(2)|=2Re(z)` then the locus of `z` is

if |z+1|^(2)+|z|^(2)=4, then the locus of z is

If |z+i|^2−|z−i|^2 =3 then the locus of z is

If |z+i|^2−|z−i|^2 =4 then the locus of z is

If |z+2+3i|=5 then the locus of z is

If |(z-2)/(z+2)|=(pi)/(6), then the locus of z 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.

If z=x+iy is a complex number satisfying |z+(i)/(2)|^(2)=|z-(i)/(2)|^(2), then the locus of z is

Let z be a moving point in complex plane. If |Re(z)|+|lm(z)|=2 , then the locus of point z is

If arg((z-2)/(z+2))=(pi)/(4) then the locus of z is