JEE Main 2022 — Application Of Derivatives Question with Solution
From: JEE Main 2022 (Online) 26th July Morning Shift
Question
Let the function , be decreasing in and increasing in . A tangent to the parabola at a point on it passes through the point but does not pass through the point . If the equation of the normal at is : , then is equal to ________________.
Enter your answer
Show full solutionCorrect answer: 1
Step-by-step explanation
so f(x) is decreasing in and increasing in
Tangent at
It is passing through
or
So tangent may be
or
But passes through so rejected.
Equation of normal
or
or
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Application Of Derivatives 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 Application Of Derivatives 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.