JEE Main 2021 — Application Of Derivatives Question with Solution
From: JEE Main 2021 (Online) 26th February Evening Shift
Question
Let slope of the tangent line to a curve at any point P(x, y) be given by . If the curve intersects the line x + 2y = 4 at x = 2, then the value of y, for which the point (3, y) lies on the curve, is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Curve intersect the line x + 2y = 4 at x = 2
So, 2 + 2y = 4 y = 3
So the curve passes through (2, 3)
curve is
It also passes through (3, y)
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This is a previous-year question from JEE Main 2021, 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.