If `z_1,z_2,z_3` are complex numbers such that `|z_1|=z_2|=|z_3|=|z_1+z_2+z_3|=1, then (1/z_1+1/...

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If z_1, z_2, z_3 are complex numbers such that |z_1 |=|z_2 |=|z_3 |=|1/z_1 +1/z_2 +1/z_3 |=1, then.. If z_1, z_2, z_3 are complex numbers such that |z_1 |=|z_2 |=|z_3 |=|1/z_1 +1/z_2 +1/z_3 |=1, then..
If `z_1, z_2, z_3` are complex numbers such that `|z_1|=|z_2|=|z_3|=|1/(z_1)+1/(z_2)+1/(z_3)|=1`... If `z_1, z_2, z_3` are complex numbers such that `|z_1|=|z_2|=|z_3|=|1/(z_1)+1/(z_2)+1/(z_3)|=1`...
If z_1, z_2 and z_3 are complex numbers such that |z_1|=|z_2|=… If z_1, z_2 and z_3 are complex numbers such that |z_1|=|z_2|=…
if z1,z2,z3 are complex number such that z1=z2=z3=(1/z1+1/z2+1/z3)=1, then find the value ... if z1,z2,z3 are complex number such that z1=z2=z3=(1/z1+1/z2+1/z3)=1, then find the value ...
If z1, z2, z3 are complex numbers such that |z1| = |z2| = |z3| = | 1/z1 + 1/z2 + 1/z3 | = 1, then fi If z1, z2, z3 are complex numbers such that |z1| = |z2| = |z3| = | 1/z1 + 1/z2 + 1/z3 | = 1, then fi
If z_1,z_2 and z_3 are three complex numbers satisfying 〖z_1〗^2+〖z_2〗^2+〖z_3〗^2-z_2 z_3-z_3 z_1-z... If z_1,z_2 and z_3 are three complex numbers satisfying 〖z_1〗^2+〖z_2〗^2+〖z_3〗^2-z_2 z_3-z_3 z_1-z...
If `|z_1|=|z_2|=.......=|z_n|=1,` prove that `|z_1+z_2+z_3++z_n|=1/(z_1)+1/(z_2)+1/(z_3)++1/(z_n)` If `|z_1|=|z_2|=.......=|z_n|=1,` prove that `|z_1+z_2+z_3++z_n|=1/(z_1)+1/(z_2)+1/(z_3)++1/(z_n)`
If `|z_1| = 1 , |z_2|=2,|z_3|=3 and |9z_1z_2+4z_1z_2+z_2z_3|=12` , then `|z_1+z_2+z_3|` is ... If `|z_1| = 1 , |z_2|=2,|z_3|=3 and |9z_1z_2+4z_1z_2+z_2z_3|=12` , then `|z_1+z_2+z_3|` is ...