Mathematics · 2023
JEE Main · 6 April 2023, Shift 2 · Q2
In a group of 100 persons 75 speak English and 40 speak Hindi. Each person speaks at least one of the two languages. If the number of persons, who…
In a group of $\displaystyle 100$ persons $\displaystyle 75$ speak English and $\displaystyle 40$ speak Hindi. Each person speaks at least one of the two languages. If the number of persons, who speak only English is $\displaystyle \alpha$ and the number of persons who speak only Hindi is $\displaystyle \beta$, then the eccentricity of the ellipse $\displaystyle 25\left(\beta^2 x^2+\alpha^2 y^2\right)=\alpha^2 \beta^2$ is
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \frac{\sqrt{119}}{12}$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.