Consider the region S of complex numbers a such that `|z^(2) - az + 1|=1`, where `|z|=1` . Then area of S in the Argand plane is

Consider the region S of complex numbers a such that |z^(2)+az+1|=1 where |z|=1 .If A denotes the area of S in argand plane.Find [(A)/(2)] ([.] denotes G.I.function)

If z is a complex number such taht z^(2)=(bar(z))^(2) then find the location of z on the Argand plane.

If z is a complex number such taht z^2=( barz)^2, then find the location of z on the Argand plane.

If z is a complex number such taht z^2=( barz)^2, then find the location of z on the Argand plane.

If z is a complex number such taht z^2=( barz)^2, then find the location of z on the Argand plane.

The region of the complex plane for which |(z-a)/(z+a)|=1 , (Re) ne 0 , is

The region of the complex plane for which |(z-a)/(z+vec a)|=1,(Re(a)!=0) is

Locate the region in the Argand plane for the complex number z satisfying |z-4| < |z-2|.

A variable complex number z is such that the amplitude of (z-1)/(z+1) is always equal to (pi)/(4) Illustrate the locus of z in the Argand plane

Given z_(1)=1 + 2i . Determine the region in the complex plane represented by 1 lt |z-z_(1)| le 3 . Represent it with the help of an Argand diagram