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If z₁, ,z₂ , z₃ 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 $|z_{1} + z_{2} + z_{3}|$ is

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Correct option is A

z1=z2=z3=1⇒z1z¯1=z2z¯2=z3z¯3=1∴z1+z2+z3=1z¯1+1z¯2+1z¯3=1z1+1z2+1z3=1

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If z1, ,z2 , z3 are complex numbers such that z1=z2=z3=1z1+1z2+1z3=1 then z1+z2+z3 is

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Ready to Test Your Skills?

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If z₁, ,z₂ , z₃ 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 $|z_{1} + z_{2} + z_{3}|$ is