JEE Main 2023 — Parabola Question with Solution
From: JEE Main 2023 (Online) 11th April Evening Shift
Question
Let the tangent to the parabola at the point be perpendicular to the line . Then the square of distance of the point from the normal to the hyperbola at its point is equal to _________.
Enter your answer
Show full solutionCorrect answer: 116
Correct answer
116
Step-by-step explanation
lies on
Now, hyperbola , normal at
Now, distance of from is equal to
Now, hyperbola , normal at
Now, distance of from is equal to
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Parabola 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 Parabola 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.