Points z in the complex plane satisfying `"Re"(z+1)^(2)=|z|^(2)+1` lie on

Points z in the complex plane satisfying Re(z+1)^(2)=|z|^(2)+1 lies on

The point z in the complex plane satisfying |z+2|-|z-2|= ±3 lies on

The point z in the complex plane satisfying |z+2|-|z-2|=+3 lies on

A(z_(1)) and B(z_(2)) are two given points in the complex plane. The locus of a point P(z) in the complex plane satisfying |z-z_(1)|-|z-z_(2)| ='|z1-z2 |, is

The point z in the complex plane satisfying |z+2|-|z-2|=3 lies on

The set of points z in the complex plane satisfying |z-i|z||=|z+i|z|| is contained or equal to the set of points z satisfying

The set of points z in the complex plane satisfying |z-i|z||=|z+i|z|| is contained or equal to the set of points z satisfying

The locus of a point z in complex plane satisfying the condition arg((z-2)/(z+2))=(pi)/(2) is

If a point P denoting the complex number z moves on the complex plane such tha "Re"(z^(2))="Re"(z+bar(z)) , then the locus of P (z) is