Let `z` and `w` be two non-zero complex numbers such that `|z|=|w|` and arg.`(z)+`arg.`(w)=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 barzw is equal to

Let z,w be complex numbers such that barz+ibarw=0 and arg zw=pi . Then arg z equals

Let z be a complex number such that |z| = 4 and arg (z) = 5pi//6, then z =

If z_(1) and z_(2) are two non-zero complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| , then arg. z_(1)- arg. z_(2) equals :

If z is a complex number such that z=-bar(z) then

The number of complex numbers z such that |z-1|=|z+1|=|z-i| equals

If z is a complex number then

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

Let z_(1) and z_(2) be two complex numbers such that |z_(1)+z_(2)|^(2)=|z_(1)|^(2)+|z_(2)|^(2) . Then,