The locus of a complex number `z` satisfying `|z-(1+3i)|+|z+3-6i|=4`

The number of complex numbers satisfying (1 + i)z = i|z|

Find the locus of a complex number z=x+ iy satisfying the relation |2z+3i|<=|2z+5|. Illustrate the locus in Argand plane.

The number of complex numbers z satisfying |z-3-i|=|z-9-i| and |z-3+3i|=3 are a.one b.two c.four d.none of these

The number of complex numbers z satisfying |z-2-i|=|z-8+i| and |z+3|=1 is

The complex number z satisfying the equation |z-i|=|z+1|=1

Let z _(1) and z _(2) be two complex numberjs satisfying |z _(1)|=3 and |z _(2) -3-4i|=4. Then the minimum value of |z_(1) -z _(2)| is