Mathematics · 2021
JEE Main · 31 August 2021, Shift 2 · Q67
If α= lim_x → π / 4 (tan^3 x- tan x)/(cos (x+(π)/4)) and β= lim_x → 0( cos x)^cot x are the roots of the equation, a x^2+ b x-4=0, then the ordered…
If $\displaystyle \alpha=\lim _{x \rightarrow \pi / 4} \frac{\tan ^3 x-\tan x}{\cos \left(x+\dfrac{\pi}{4}\right)}$ and $\displaystyle \beta=\lim _{x \rightarrow 0}(\cos x)^{\cot x}$ are the roots of the equation, $\displaystyle \mathrm{a} x^2+\mathrm{b} x-4=0$, then the ordered pair $\displaystyle (\mathrm{a}, \mathrm{b})$ is :
Official answer
(3)
$\displaystyle (1,3)$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.