Q36 / 60 · IAT (IISER) 2025 · Mathematics

Let $z_1, z_2$, and $z_3$ be complex numbers satisfying the following conditions $2=\left|2 z_1\right|=\left|z_2-1\right|=\left|z_3+1\right|=\left|\frac{1}{z_1}+\frac{1}{z_2-1}+\frac{1}{z_3+1}\right|$ What is the value of $\left|4 z_1+z_2+z_3\right|$ ?

  • Correct answer
    A
    8
  • B
    4
  • C
    $\frac{1}{4}$
  • D
    $\frac{1}{8}$

Hence, the correct answer is option: 'A'.

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