Find the locus of the complex number `z=x+iy`, satisfying relations `arg(z-1)=(pi)/(4)` and `|z-2-3i|=2`.

Find the locus of a complex number z= x+ yi satisfying the relation arg (z-a)=(pi)/(4), a in R Illustrate the locus of z in the Argand plane

Find the locus of a complex number, z=x +iy , satisfying the relation |(z-3i)/(z+3i)| le sqrt(2) . Illustrate the locus of z in the Argand plane.

Find the locus of a complex number z= x+yi , satisfying the relation |3z- 4i| le |3z + 2| . Illustrate the locus in the Argand plane

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

Find the locus of a complex number z=x +yi , satisfying the relation |z +i|=|z+ 2| . Illustrate the locus of z in the Argand plane

Find the locus of the complex number, Z = x + iy given, |(x+iy-2i)/(x+iy+2i)|= sqrt(2)

Find the complex number z satisfying the equation |(z-12)/(z-8i)|= (5)/(3), |(z-4)/(z-8)|=1

The locus of the points z satisfying the condition arg ((z-1)/(z+1))=pi/3 is, a

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0.

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0.