JEE Main 2024 — Hyperbola Question with Solution
From: JEE Main 2024 (Online) 6th April Evening Shift
Question
The length of the latus rectum and directrices of hyperbola with eccentricity e are 9 and , respectively. Let the line touch this hyperbola at . If is the product of the focal distances of the point , then is equal to _________.
Enter your answer
Show full solutionCorrect answer: 61
Correct answer
61
Step-by-step explanation

is the tangent
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 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.