The complex number z satisfying `|z+1|=|z-1|` and arg `(z-1)/(z+1)=pi/4`, is

The complex number z satisfying the condition arg{(z-1)/(z+1)}=(pi)/(4) lies on

Show that the complex number z, satisfying the condition arg((z-1)/(z+1))=(pi)/(4) lie son a circle.

Show that the complex number z , satisfying are (z-1)/(z+1)=pi/4 lies on a circle.

If a complex number z satisfies |z| = 1 and arg(z-1) = (2pi)/(3) , then ( omega is complex imaginary number)

Complex number z_1 and z_2 satisfy z+barz=2|z-1| and arg (z_1-z_2) = pi/4 . Then the value of lm (z_1+z_2) is

A(z_(1)) and B(z_(2)) are two points in the argand plane then the locius of the complex number z satisfying arg (z-z_(1))/(z-z_(2))=0 or pi is

Let z1 and z2 be two complex numbers such that |z1|=|z2| and arg(z1)+arg(z2)=pi then which of the following is correct?

Show that the complex numbers z, satisfying the condition arg( frac{z-1}{z+1} ) = ( pi )/4 lies on a circle

z_(1) and z_(2) are two complex number such that |z_(1)|=|z_(2)| and arg (z_(1))+arg(z_(2))=pi , then show that z_(1)=-barz_(2)

If z=x+iy such that |z+1|=|z-1| and arg((z-1)/(z+1))=(pi)/(4) then