JEE Main 2026 — Sets and Relations Question with Solution
JEE Main 2026 (24 January Shift 1)
Question
Let R be a relation defined on the set by . Then the number of elements in R is
Choose an option
Show full solutionCorrect option: D
Correct answer
D12
Step-by-step explanation
We need where .
Possible values of : range from to .
Possible values of : range from to .
For each common value , the number of elements in equals (number of with ) (number of with ).
: ,
: ,
: ,
: ,
: ,
: ,
: ,
: ,
: ,
: ,
Total
Possible values of : range from to .
Possible values of : range from to .
For each common value , the number of elements in equals (number of with ) (number of with ).
: ,
: ,
: ,
: ,
: ,
: ,
: ,
: ,
: ,
: ,
Total
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This is a previous-year question from JEE Main 2026, 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.