Mathematics · 2013
JEE Main · 23 April 2013, Shift 1 · Q76
Let a = Im ((1+z^2)/(2 i z)), where z is any nonzero complex number. The set A ={ a:|z|=1 and z ≠ ± 1} is equal to:
Let $\displaystyle \mathrm{a}=\operatorname{Im}\left(\frac{1+z^2}{2 \mathrm{i} z}\right)$, where z is any nonzero complex number.
The set $\displaystyle \mathrm{A}=\{\mathrm{a}:|z|=1$ and $\displaystyle z \neq \pm 1\}$ is equal to :
Official answer
(1)
$\displaystyle (-1, 1)$
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.