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JEE Main 2000 Mathematics question on Complex Numbers and Quadratic Equations

If z1,z2z_1, z_2 and z3z_3 are complex numbers such that ∣z1∣=∣z2∣=∣z3∣=∣1z1+1z2+1z3∣=1|z_1| = |z_2| = |z_3| = \left|\frac{1}{z_1} + \frac{1}{z_2} + \frac{1}{z_3}\right| = 1, then ∣z1+z2+z3∣|z_1 + z_2 + z_3| is
  1. A.
    equal to 1
  2. B.
    less than 1
  3. C.
    greater than 3
  4. D.
    equal to 3
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Correct option: A

[2000]

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