JEE Main 2023 — Hyperbola Question with Solution
From: JEE Main 2023 (Online) 25th January Morning Shift
Question
The vertices of a hyperbola H are ( 6, 0) and its eccentricity is . Let N be the normal to H at a point in the first quadrant and parallel to the line . If d is the length of the line segment of N between H and the y-axis then d is equal to _____________.
Enter your answer
Show full solutionCorrect answer: 216
Step-by-step explanation
equation of normal is
Equation of normal is
and
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.