Find the locus of the points representing the complex number `z` for which`|z+5|^2-|z-5|^2=10.`

The locus of the points representing the complex numbers z for which |z|-2=|z-i|-|z+5i|=0 , is

" The locus of the point representing the complex number "z" for which "|z+10i|^(2)-|z-10i|^(2)=20," is (where "i=sqrt(-1))

The locus of the point representing the complex number z for which |z+10i|^(2) - |z-10i|^(2)=20, is (where i=sqrt(-1) )

The points representing the complex numbers z for which |z+4|^(2)-|z-4|^(2)=8 lie on

If |z|=2 then the points representing the complex number -1+5z will be

If |z|=2, the points representing the complex numbers -1+5z will lie on

Find the complex number z for which |z| = z + 1 + 2i.