JEE Main 2012 — Continuity and Differentiability Question with Solution
JEE Main 2012 (Offline)
Question
Consider the function .
Statement :
Statement : is continuous in , differentiable in and .
Choose an option
Show full solutionCorrect option: B
Correct answer
BStatement is true, statement is true; statement is a correct explanation for statement
Step-by-step explanation
;
is constant function in
is continuous in and differentiable in and
by Rolle's theorem
Statement and statement both are true and statement is correct explanation for statement .
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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.