If z1,z2 and z3 are three complex numbers such that z1=z2=z3=1z1+1z2+1z3=1, then the value of z1+z2+z3 is

Question

z_{1}, z_{2}

and

z_{3}

are three complex numbers such that

|z_{1}| = |z_{2}| = |z_{3}| = |\frac{1}{z_{1}} + \frac{1}{z_{2}} + \frac{1}{z_{3}}| = 1

, then the value of

|z_{1} + z_{2} + z_{3}|

Correct Answer

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