JEE Main 2024 — Sets and Relations Question with Solution
JEE Main 2024 (08 Apr Shift 2)
Question
Let and . Let be a relation on defined by if and only if is an even integer. Then the relation is
Choose an option
Show full solutionCorrect option: B
Correct answer
Breflexive and symmetric but not transitive.
Step-by-step explanation
Reflexive :
always even so it is reflexive.
Symmetric : If Even
Case-I : odd odd
Case-II : even even
(c, d)
Case-I : odd odd
Case-II : even even
so symmetric relation
Transitive :
Set Satisfy relation
Set Satisfy relation
but does not satisfy relation so not transitive.
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