Mathematics · 2024
JEE Main · 8 April 2024, Shift 2 · Q11
Let ∫_α^log_e 4 (d x)/(√(e^x-1))=(π)/6. Then e^α and e^-α are the roots of the equation:
Let $\displaystyle \int_\alpha^{\log _e 4} \frac{\mathrm{~d} x}{\sqrt{\mathrm{e}^x-1}}=\frac{\pi}{6}$. Then $\displaystyle \mathrm{e}^\alpha$ and $\displaystyle \mathrm{e}^{-\alpha}$ are the roots of the equation :
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 2 x^2-5 x+2=0$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.