Find the area of the region bounded by `arg|z| le pi//4` and `|z-1| lt |z-3|`

Find the Area bounded by complex numbers arg|z|lepi/4 and |z-1|lt|z-3|

Find the center of the arc represented by a r g[(z-3i)//(z-2i+4)]=pi//4 .

arg z= pi if and only if z is a

|z-4|lt|z-2| represents the region given by

The area bounded by the curves arg z = pi/3 and arg z = 2 pi /3 and arg(z-2-2isqrt3) = pi in the argand plane is (in sq. units)

If z_1, z_2, z_3, z_4 are the affixes of four point in the Argand plane, z is the affix of a point such that |z-z_1|=|z-z_2|=|z-z_3|=|z-z_4| , then z_1, z_2, z_3, z_4 are