Let z, be a complex number with `|z_1|=1 and z_2 ` be any complex number, then `| (z_1 - z_2) /(1-z_1 z_2) | `=

Let z1 be a complex number with abs(z_1)=1 and z2 be any complex number, then abs(frac{z_1-z_2}{1-z_1barz_2}) =

If z_1 and z_2 are any complex numbers, then abs(z_1+z_2)^2+abs(z_1-z_2)^2 is equal to

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, z_2 are complex number such that (2z_1)/(3z_2) is purely imaginary number, then find |(z_1-z_2)/(z_1+z_2)| .

If z_1, z_2 are complex number such that (2z_1)/(3z_2) is purely imaginary number, then find |(z_1-z_2)/(z_1+z_2)| .

If z_1, z_2 are complex number such that (2z_1)/(3z_2) is purely imaginary number, then find |(z_1-z_2)/(z_1+z_2)| .

Let z_1, z_2 be two complex numbers with |z_1| = |z_2| . Prove that ((z_1 + z_2)^2)/(z_1 z_2) is real.