JEE Main 2012 — Continuity and Differentiability Question with Solution
JEE Main 2012 (12 May Online)
Question
Statement 1: A function is continuous at if and only if exists and
Statement 2: A function is discontinuous at if and only if, exists and
Choose an option
Show full solutionCorrect option: D
Correct answer
DStatement 1 is true, Statement 2 is false.
Step-by-step explanation
Statement-1 is true.
It is the definition of continuity.
Statement is false.
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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.