JEE Main 2012 — Continuity and Differentiability Question with Solution
JEE Main 2012 (07 May Online)
Question
If , then as a function of , at is
Choose an option
Show full solutionCorrect option: B
Correct answer
Bcontinuous but not differentiable
Step-by-step explanation
Given
This represent a straight line which passes through origin.
Hence, is continuous at . Now, we check differentiability at
Thus,
Since, L.H.D R.H.D. at
given function is not differentiable at
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This is a previous-year question from JEE Main 2012, covering the Continuity and Differentiability 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.