Let z and w be two complex numbers such that `|Z| <= 1, |w|<=1 and |z + iw| = |z-i bar w| = 2`

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

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 omega be two complex numbers such that |z|lt=1,|omega|lt=1 and |z-iomega|=|z-i bar omega|=2, then z equals (a)1ori (b). ior-i (c). 1or-1 (d). ior-1

Let z and w be two complex number such that w = z vecz - 2z + 2, |(z +i)/(z - 3i )|=1 and Re (w) has minimum value . Then the minimum value of n in N for which w ^(n) is real, is equal to "_______."

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

If z and w are two complex number such that |zw|=1 and arg(z)arg(w)=(pi)/(2), then show that bar(z)w=-i