Mathematics · 2022
JEE Main · 25 July 2022, Shift 2 · Q12
If the ellipse x^2/a^2+y^2/b^2=1 meets the line x/7+y/(2 √ 6)=1 on the x -axis and the line x/7-y/(2 √ 6)=1 on the y -axis, then the eccentricity of…
If the ellipse $\displaystyle \frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ meets the line $\displaystyle \frac{x}{7}+\frac{y}{2 \sqrt{6}}=1$ on the $\displaystyle x$-axis and the line $\displaystyle \frac{x}{7}-\frac{y}{2 \sqrt{6}}=1$ on the $\displaystyle y$-axis, then the eccentricity of the ellipse is
Official answer
(1)
$\displaystyle \frac{5}{7}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.