JEE Main 2026 — Sets and Relations Question with Solution
JEE Main 2026 (21 January Shift 2)
Question
Let . Let R be the relation on A defined by if and only if . Let be the number of elements in R, and m be the minimum number of elements required to be added in R to make it a symmetric relation. Then is equal to :
Choose an option
Show full solutionCorrect option: D
Correct answer
D25
Step-by-step explanation
Given and iff , i.e., .
For : → 5 pairs
For : → 5 pairs
For : → 3 pairs
For : → 3 pairs
For : → 2 pairs
So .
For symmetry, pairs in whose reversal is missing: require adding → .
.
For : → 5 pairs
For : → 5 pairs
For : → 3 pairs
For : → 3 pairs
For : → 2 pairs
So .
For symmetry, pairs in whose reversal is missing: require adding → .
.
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