Find the area bounded by `|arg z|lt=pi//4` and `|z-1|<|z-3|dot`

Find the Area bounded by |arg z|<=(pi)/(4) and |z-1|<|z-3|

If z is a complex number such that |z - barz| +|z + barz| = 4 then find the area bounded by the locus of z.

Area of the region bounded by the curves,|z-4|<=|z-8| and -(pi)/(4)<=arg(z)<=(pi)/(4) (where z is any complex number),is

Find the complex number z if arg (z+1)=(pi)/(6) and arg(z-1)=(2 pi)/(3)

Find the locus of z if arg ((z-1)/(z+1))= pi/4

Find the center of the are represented by arg[(z-3i)/(z-2i+4)]=pi/4

Find the value of z, if |z |= 4 and arg (z) = (5pi)/(6) .