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Given the set A={1,2,3} and the relation R={(1,1),(2,2),(3,3),(1,2),(2,1)} on A. We need to determine which of the given properties is false for R. (A)Reflexive: A relation R on a set A is reflexive if for every element a ∈ A, (a,a) ∈ R. For A={1,2,3}, the relation R must contain (1,1),(2,2),(3,3) to be reflexive. R contains (1,1),(2,2),(3,3). Therefore, R is reflexive. So, (A) is true. (B)Symmetric: A relation R on a set A is symmetric if for every (a,b) ∈ R, it implies that (b,a) ∈ R. In R:
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