JEE Main 2022 — Parabola Question with Solution
From: JEE Main 2022 (Online) 25th June Evening Shift
Question
If the line , is the tangent to the parabola at the point P and V is the vertex of the parabola, then the slope of the line through P and V is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Line touches the parabola .
So, has only one root
or 3 but
So, .
And hence
So, P(2, 6) and V is
Slope of
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.