Q47 / 160 · AP EAMCET 2025 (21 MAY SHIFT 2) · Mathematics

If $a=\operatorname{Im}\left(\frac{1+z^2}{2 i z}\right)$ and $z$ is any non zero complex number such that $|z|=1$, then $a=$

  • A
    $\operatorname{Re}(z)$
  • B
    $\operatorname{Re}(z) \operatorname{Im}(z)$
  • Correct answer
    C
    $-\operatorname{Re}(z)$
  • D
    $\operatorname{Re}(z)+\operatorname{Im}(z)$

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

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