JEE Main 2005 — Functions Question with Solution
From: AIEEE 2005
Question
Let , be a function defined by
,
then is both one-one and onto when B is the interval
,
then is both one-one and onto when B is the interval
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Given
for
If
Clearly, range of
For to be onto, co-domain range
Co-domain of function
for
If
Clearly, range of
For to be onto, co-domain range
Co-domain of function
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This is a previous-year question from JEE Main 2005, 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.