Interpret the loci `arg z=pi/4` in complex plane

Interpret the loci argz =(pi)/(4) in complex plane

If arg""(z-1)/(z+1)=(pi)/(4), show that the locus of z in the complex plane is a circle.

If arg((z-1)/(z+1))=(pi)/(4) show that the locus of z in the complex plane is a circle.

If arg z = pi/4 ,then

If arg ((z-1)/(z+1))=pi/4 ,, then show that in complex plane, the locus of z is a cricle.

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

Area bounded by arg (z)=(pi)/(3), Arg (z)=(2 pi)/(3) and Arg(z-2-i2sqrt(3))=pi in the complex plane is (in square unit) 2sqrt(3)(b)4sqrt(3)(c)sqrt(3) (d) None of these

Interpet the following equations geometrically on the Argand plane. arg(z+i)-arg(z-i)=(pi)/(2)