JEE Main 2009 — Functions Question with Solution
From: AIEEE 2009
Question
Let
Statement - 1 : The set .
Statement - 2 : is a bijection.
Statement - 1 : The set .
Statement - 2 : is a bijection.
Choose an option
Show full solutionCorrect option: C
Correct answer
CStatement - 1 is true, Statement - 2 is false
Step-by-step explanation
Given that
Clearly but co-domain is not given
need not be necessarily onto.
But if is onto then as is one one also,
being something will exist where
square root as
Then
The statement - is correct but statement- is false.
Clearly but co-domain is not given
need not be necessarily onto.
But if is onto then as is one one also,
being something will exist where
square root as
Then
The statement - is correct but statement- is false.
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This is a previous-year question from JEE Main 2009, 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.