JEE Main 2013 — Continuity and Differentiability Question with Solution
JEE Main 2013 (23 Apr Online)
Question
Let be a composite function of defined by .
Then the number of points where is discontinuous is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B3
Step-by-step explanation
, which is discontinous at
which is discontinous at
when , then
when , then
Hence given composite function is discontinous at three points, and 2 .
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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.