JEE Main 2008 — Sets and Relations Question with Solution
JEE Main 2008
Question
Let be the real line. Consider the following subsets of the plane .
and is an integer . Which one of the following is true?
Choose an option
Show full solutionCorrect option: D
Correct answer
D is an equivalence relation on but is not
Step-by-step explanation
as is a reflexive relation.
If
is symmetrical also
If and
Then
is also transitive.
Hence is an equivalence relation.
Clearly
is not reflexive.
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This is a previous-year question from JEE Main 2008, covering the Sets and Relations 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.