JEE Main 2026 — Functions Question with Solution
JEE Main 2026 (22 January Shift 2)
Question
Let and be functions satisfying and , for all . If , then n is equal to:
Choose an option
Show full solutionCorrect option: D
Correct answer
D5
Step-by-step explanation
with gives .
For : put in to get .
So for all .
For : put in to get .
So for all .
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Functions 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 2026, covering the Functions 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.