Mathematics · 2014
JEE Main · 9 April 2014, Shift 1 · Q62
Let w ( Im w ≠ 0) be a complex number. Then the set of all complex numbers z satisfying the equation w -w̄ z= k (1-z), for some real number k, is:
Let $\displaystyle \mathrm{w}(\operatorname{Im} \mathrm{w} \neq 0)$ be a complex number. Then the set of all complex numbers $\displaystyle z$ satisfying the equation $\displaystyle \mathrm{w}-\overline{\mathrm{w}} z=\mathrm{k}(1-z)$, for some real number k, is :
Official answer
(4)
$\displaystyle \{z:|z|=1, z \neq 1\}$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.