[" 1.If "z" and "omega" are two non-zero complex numbers such that "],[|z omega|=1" and "Arg(z)-Arg(omega)=(pi)/(2)," then "bar(z)omega" is equal to "]

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

If z and w are two non - zero complex numbers such that |zw|=1 and arg(z)-arg(w)=(pi)/(2), then the value of 5ibarzw is equal to

If Z and omega are two complex numbers such that |zomega|=1andarg(z)-arg(omega)=(3pi)/(2) , then arg ((1-2bar(z)omega)/(1+3bar(z)omega)) is : (Here arg(z) denotes the principal argument of complex number z)

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

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 non zero complex numbers such that |z|=|omega| and argz+argomega=pi, then z equals (A) omega (B) -omega (C) baromega (D) -baromega

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