Plot the region represented by `pi/3lt=a r g((z+1)/(z-1))lt=(2pi)/3` in the Argand plane.

Plot the region represented by (pi)/(3)<=arg((z+1)/(z-1))<=(2 pi)/(3) in the Argand plane.

The region represented by inequalities arg(z) =1 in the argand diagram is given by

The region represented by RE(z)<=2,Im(z)<=2 and (pi)/(8)<=arg(z)<=(3 pi)/(8) lies in

Let z, and z_(1)=(a)/(1-1),z_(2)=(b)/(2+1) and z_(3)=a-ib for a,b in R. If z_(1),z_(2)=1, then the centroid of the triangle formed by the points z_(1),z_(2) and z_(3), in the argand plane is given by

Prove that |Z-Z_(1)|^(2)+|Z-Z_(2)|^(2)=a will represent a real circle Iwith center (|Z_(1)+Z_(2)|/2+) on the Argand plane if 2a>=|Z_(1)-Z_(1)|^(2)

The area of the region represented by r<=|z-2|<=5 where z is a complex number is 9 pi then the value of r is

If z^4= (z-1)^4 then the roots are represented in the Argand plane by the points that are

If A(z_(1)) and A(z_(2)) are two fixed points in the Argand plane and a point P(z) moves in the Argand plane in such a way that |z-z_(1)|=|z-z_(2)| , then the locus of P, is

Indicate the region in the Argand plane respresented by |z+1|^2+|z-1|^2 =4 .