Mathematics · 2019
JEE Main · 10 April 2019, Shift 1 · Q82
If a directrix of a hyperbola centred at the origin and passing through the point (4,-2 √ 3 ) is 5 x=4 √ 5 and its eccentricity is e, then:
If a directrix of a hyperbola centred at the origin and passing through the point $\displaystyle (4,-2 \sqrt{3})$ is $\displaystyle 5 x=4 \sqrt{5}$ and its eccentricity is e , then :
Official answer
(4)
$\displaystyle 4 e^4-24 e^2+35=0$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.