JEE Main 2022 — Parabola Question with Solution
From: JEE Main 2022 (Online) 26th July Evening Shift
Question
Let and be any points on the curves and , respectively. The distance between and is minimum for some value of the abscissa of in the interval :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
(Equation of normal to in slope form) through .
Slope of normal
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 2022, 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.