Mathematics · 2014
JEE Main · 19 April 2014, Shift 1 · Q62
For all complex numbers z of the form 1+ i α, α ∈ R, if z^2=x+ i y, then:
For all complex numbers $\displaystyle z$ of the form $\displaystyle 1+\mathrm{i} \alpha, \alpha \in \mathbf{R}$, if $\displaystyle z^2=x+\mathrm{i} y$, then :
Official answer
(2)
$\displaystyle y^2+4 x-4=0$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.