If `z_1 and z_2` are two complex numbers such that `|z_1|ltgt1lt|z_2|` then prove that `|(1-z_1barz_2)/(z_1-z_2)|lt1`

If z_1 and z_2 are two complex numbers such that |z_1|lt1lt|z_2| then prove that |(1-z_1barz_2)/(z_1-z_2)|lt1

If z_(1) and z_(2) are two complex number such that |z_(1)|<1<|z_(2)| then prove that |(1-z_(1)bar(z)_(2))/(z_(1)-z_(2))|<1

If z_(1) and z_(2) are two complex numbers such that |z_(1)| lt 1 lt |z_(2)| , then prove that |(1- z_(1)barz_(2))//(z_(1)-z_(2))| lt 1

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

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

If Z1 and Z2 are two complex numbers such that |z1|=|z2|. ls it necessary that z1=z2 ?

If z_1 and z_2 are two distinct non-zero complex number such that |z_1|= |z_2| , then (z_1+ z_2)/(z_1 - z_2) is always

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

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