JEE Main 2023 — Application Of Derivatives Question with Solution
From: JEE Main 2023 (Online) 10th April Evening Shift
Question
Let the quadratic curve passing through the point and touching the line at be . Then the -intercept of the normal to the curve at the point in the first quadrant is __________.
Enter your answer
Show full solutionCorrect answer: 11
Correct answer
11
Step-by-step explanation
Let the quadratic curve be
The curve passes through
..........(i)
The curve also passes through
Slope tangent of curve at
Slope of line is 1
Equation of normal at is
For , intercept,
Hence, the required intercept is 11 .
The curve passes through
..........(i)
The curve also passes through
Slope tangent of curve at
Slope of line is 1
Equation of normal at is
For , intercept,
Hence, the required intercept is 11 .
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 2023, 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.