If z be a non-zero complex number, show that `(bar(z^(-1)))= (bar(z))^(-1)`

If z and w are two non-zero complex numbers such that z=-w.

Let z_(1) and z_(2) be two non -zero complex number such that |z_(1)+z_(2)| = |z_(1) | = |z_(2)| . Then (z_(1))/(z_(2)) can be equal to ( omega is imaginary cube root of unity).

If z is a non zero complex, number then |(|barz |^2)/(z barz )| is equal to (a). |(barz )/z| (b). |z| (c). |barz| (d). none of these

If z_1 and z_2 are two complex numbers such that (z_1-2z_2)/(2-z_1bar(z_2)) is unimodular whereas z_1 is not unimodular then |z_1| =

Let z_(1) and z_(2) be any two non-zero complex numbers such that 3|z_(1)|=2|z_(2)|. "If "z=(3z_(1))/(2z_(2)) + (2z_(2))/(3z_(1)) , then

If z_(1) and z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 , then

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

Numbers of complex numbers z, such that abs(z)=1 and abs((z)/bar(z)+bar(z)/(z))=1 is

If z_1a n dz_2 are two complex numbers such that |z_1|=|z_2|a n d arg(z_1)+a r g(z_2)=pi , then show that z_1,=- bar z _2dot