Numbers of complex numbers z, such that `abs(z)=1`
and `abs((z)/bar(z)+bar(z)/(z))=1` is

If z is a complex number such that z=-bar(z) then

The number of complex numbers z such that |z-1|=|z+1|=|z-i| equals

If z is a complex number then

If z_(1), z_(2) are two complex numbers such that Im(z_(1)+z_(2))=0 and Im(z_(1) z_(2))=0 , then

Let z be a complex number such that |z| = 4 and arg (z) = 5pi//6, then z =

The complex number z is such that |z|=1 , z ne -1 and w=(z-1)/(z+1) . Then real part of w is

Let z and w be two non-zero complex numbers such that |z|=|w| and arg. (z)+ arg. (w)=pi . Then z equals :

If z is a complex number such that |z|=1, z ne 1 , then the real part of |(z-1)/(z+1)| is

If z_(1) and z_(2) are two non-zero complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| , then arg. z_(1)- arg. z_(2) equals :