If `|z-4i|+|z+4i|=0` then the equation of the locus of z 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+i|^2-|z-i|^2=3 then the locus of z is

If z satisfies |z-6+4i|+|z-3+2i|=13 then the locus of z is

If |z-3+i|=4 , then the locus of z is

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

If |z-3+ i|=4 , then the locus of z is

If |(z-i)/(z+i)|=1 then the locus of z is

If arg ((z-(10+6i))/(z-(4+2i)))=(pi)/(4) (where z is a complex number), then the perimeter of the locus of z is

if |z-1|=|z-i| then locus of z is

If |z-5i|=|z+5i, then the locus of z