" et "z" and "w" be two complex numbers such that "|z|<=1,quad |w|<=1" and "|z+iw|=|z-ibar(w)|=2." Then z is "

Let z and omega be two complex numbers such that |z|<=1,| omega|<=1 and |z+omega|=|z-1vec omega|=2 Use the result |z|^(2)=zz and |z+omega|<=|z|+| omega|

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____________

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

Let z and w be two nonzero complex numbers such that |z|=|w| and arg(z)+a r g(w)=pidot Then prove that z=- barw dot

Let Z and w be two complex number such that |zw|=1 and arg(z)−arg(w)=pi//2 then

Let Z and w be two complex number such that |zw|=1 and arg(z)-arg(w)=pi/2 then

Let zandw be two nonzero complex numbers such that |z|=|w| andarg (z)+arg(w)=pi Then prove that z=-bar(w) .