Mathematics · 2020
JEE Main · 5 September 2020, Shift 1 · Q58
If α is the positive root of the equation, p (x)=x^2-x-2=0, then lim_x → α^+ (√(1- cos ( p (x))))/(x+α-4) is equal to:
If $\displaystyle \alpha$ is the positive root of the equation, $\displaystyle \mathrm{p}(x)=x^2-x-2=0$, then $\displaystyle \lim _{x \rightarrow \alpha^{+}} \frac{\sqrt{1-\cos (\mathrm{p}(x))}}{x+\alpha-4}$ is equal to :
Official answer
(3)
$\displaystyle \frac{3}{\sqrt{2}}$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.