JEE Main 2025 Mathematics question
Let A be the set of all function f : Z → Z and R be a relation on A such that R = {(f, g} : f(0) = g(1) and f(1) = g(0). Then R is :
Answer: (4)
Solution
Not reflexive since f(0)≠f(1) generally. Symmetric since conditions swap consistently. Not transitive as shown by counterexample chain.