JEE Main 2022 — Application Of Derivatives Question with Solution
From: JEE Main 2022 (Online) 26th June Morning Shift
Question
Let S be the set of all the natural numbers, for which the line is a tangent to the curve at the point (a, b), ab 0. Then :
Choose an option
Show full solutionCorrect option: D
Step-by-step explanation
Differentiating both sides with respect to x, we get
Now, at (a, b)
Equation of tangent at (a, b) is,
It is tangent for all value of n.
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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.