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)

arg z= pi if and only if z is a

The area bounded by the curves x^2+y^2=1,x^2+y^2=4 and the pair of lines sqrt3 x^2+sqrt3 y^2=4xy , in the first quadrant is (1) pi/2 (2) pi/6 (3) pi/4 (4) pi/3

If arg(z - 1) = pi/6 and arg(z + 1) = 2 pi/3 , then prove that |z| = 1 .

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

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

The area bounded by the curve y=|cos^(-1)(sinx)|-|sin^(-1)(cosx)| and axis from (3pi)/(2)lex le 2pi

If |z_1/z_2|=1 and arg (z_1z_2)=0 , then