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

If a complex number z satisfies |z|^(2)+1=|z^(2)-1| , then the locus of z is

If z = x + iy is a complex number such that |z + 2| = |z - 2|, then the locus of z is

If z = x + iy is a complex numbers z for which |z +i//2|^(2) = |z - i//2|^(2) then the locus of z is

If a complex number z satisfies the relation z^2+z^(-2)=2 , then the locus of z is

If |z-1| gt2|z-2| then the locus of z = x + iy is

If z = x + iy is a complex number such that |(z-4i)/(z+ 4i)| = 1 show that the locus of z is real axis.

If |z -1| lt 2 |z - 2| then the locus of z = x + iy is

Let z=x+iy be a complex number such that |z+i|=2 . Then the locus of z is a circle whose centre and radius are