Complex analysis/If z1 &z2 are distinct complex numbers such that |z1|=|z2|=1 and z1+z2=1 then?

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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
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If z1,z2,z3 are complex numbers suchthat |z1|=|z2|=|z3|=|1/z1 +1/z2 + 1/z3| =1 then |z1 + z2 + z3| = If z1,z2,z3 are complex numbers suchthat |z1|=|z2|=|z3|=|1/z1 +1/z2 + 1/z3| =1 then |z1 + z2 + z3| =