Let `za n dw` be two nonzero complex numbers such that `|z|=|w|a n d arg(z)+a r g(w)=pidot` Then prove that `z=- bar w dot`

Let z and w be two non-zero complex number such that |z|=|w| and arg (z)+arg(w)=pi then z equals.w(b)-w (c) w(d)-w

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

Let z and w are two non zero complex number such that |z|=|w|, and Arg(z)+Arg(w)=pi then (a) z=w( b) z=bar(w)(c)bar(z)=bar(w)(d)bar(z)=-bar(w)

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 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 numbers such that |Z|<=1,|w|<=1 and |z+iw|=|z-ibar(w)|=2

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

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