JEE Main 2024 — Hyperbola Question with Solution
JEE Main 2024 (04 Apr Shift 1)
Question
Let be a square matrix of order 2 such that and the sum of its diagonal elements is -3 . If the points satisfying lie on a hyperbola, whose , eccentricity is and the length of the latus rectum is , then is equal to
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Show full solutionCorrect answer: 233
Correct answer
233
Step-by-step explanation
Given
trace
and
$\begin{aligned}
& \text {so, } 81 e^{4}=169 \\
& L R=8 / 9 \\
& 81 e^{4}+81 L^{2}=169+64=233 \end{aligned}$
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This is a previous-year question from JEE Main 2024, covering the Hyperbola chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.