JEE Main 2012 — Functions Question with Solution
JEE Main 2012 (26 May Online)
Question
Let and be non empty sets in and is a bijective function.
Statement 1: is an onto function.
Statement 2: There exists a function such that fog .
Choose an option
Show full solutionCorrect option: D
Correct answer
DStatement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for Statement 1.
Step-by-step explanation
Let and be non-empty sets in .
Let is bijective function.
Clearly statement - 1 is true which says that is an onto function.
Statement is also true statement but it is not the correct explanation for statement-1
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This is a previous-year question from JEE Main 2012, covering the Functions 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.