JEE Main 2023 — Hyperbola Question with Solution
From: JEE Main 2023 (Online) 11th April Morning Shift
Question
Let . Let be the smallest even value of such that the eccentricity of is a rational number. If is the length of the latus rectum of , then is equal to ____________.
Enter your answer
Show full solutionCorrect answer: 306
Correct answer
306
Step-by-step explanation
We have,
Here, and
The smallest even value for which is 48 .
Here, and
The smallest even value for which is 48 .
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Hyperbola chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2023, 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.