JEE Main 2025 Mathematics question
Let A = {–3, –2, –1, 0, 1, 2, 3} and R be a relation on A defined by xRy if and only if . Let be the number of elements in R. Let m and n be the minimum number of elements required to be added in R to make it reflexive and symmetric relations, respectively. Then is equal to:
Answer: (3)
Solution
R has 7 elements. For reflexivity, 5 pairs need to be added (m=5). For symmetry, 5 pairs need to be added (n=5). Total .