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

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

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

Let z and omega be two complex numbers such that |z|=1 and (omega-1)/(omega+1) = ((z-1)^2)/(z+1)^2 then value of |omega-1| +|omega+1| is equal to____________

If z 1 ​ =a+ib and z 2 ​ =c+id are complex numbers such that ∣z 1 ​ ∣=∣z 2 ​ ∣=1 and Re(z 1 ​ z 2 ​ ​ )=0, then the pair of complex numbers w 1 ​ =a+ic and w 2 ​ =b+id satisfy

Let z and omega be two complex numbers such that |z|=1 and (omega-1)/(omega+1)=((z-1)/(x+1))^(2) . Then the maximum value of |omega + 1| is

If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is

If z_(1) and z_(2) are complex numbers such that z_(1) ne z_(2) and |z_(1)|= |z_(2)| . If z_(1) has positive real part and z_(2) has negative imaginary part, then ((z_(1) +z_(2)))/((z_(1)-z_(2))) may be