JEE Main 2026 Mathematics question

MathematicsSets and RelationJEE Main 2026

Let . Let R be the relation on A defined by x R y 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:

Answer: (2)

Solution

Counting pairs satisfying gives . To make symmetric, 7 more pairs need to be added, so .

Question ID VK-001012