If z1,z2 and z3 are complex numbers such that |z1|=|z2|=|z3|=∣∣1z1 – InterviewSolution

InterviewSolution

1.

If z1,z2 and z3 are complex numbers such that |z1|=|z2|=|z3|=∣∣1z1+1z2+1z3∣∣=1, then |z1+z2+z3|

Answer»

If $z_{1}, z_{2} a n d z_{3}$ are complex numbers such that

| $z_{1}$ |=| $z_{2}$ |=| $z_{3}$ |= $∣ ∣ \frac{1}{z_{1}} + \frac{1}{z_{2}} + \frac{1}{z_{3}} ∣ ∣ = 1$ ,

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

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