JEE Main 2013 — Continuity and Differentiability Question with Solution
JEE Main 2013 (22 Apr Online)
Question
Let , and ; then the set of all points where is discontinuous is :
Choose an option
Show full solutionCorrect option: D
Correct answer
Dan empty set
Step-by-step explanation
Let
LHL at
RHL at
When , then
Hence, LHL at RHL at value of at
Hence is continuous at .
Clearly at all other point continuous. Therefore, the set of all points where fog is discontinuous is an empty set.
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This is a previous-year question from JEE Main 2013, 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.