JEE Main 2022 — Hyperbola Question with Solution
From: JEE Main 2022 (Online) 28th June Evening Shift
Question
Let a > 0, b > 0. Let e and l respectively be the eccentricity and length of the latus rectum of the hyperbola . Let e' and l' respectively be the eccentricity and length of the latus rectum of its conjugate hyperbola. If and , then the value of is equal to :
Choose an option
Show full solutionCorrect option: D
Step-by-step explanation
, then
(l be the length of LR)
..... (i)
and (l' be the length of LR of conjugate hyperbola)
....... (ii)
By (i) and (ii)
then by (i)
and
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This is a previous-year question from JEE Main 2022, 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.