JEE Main 2025 Mathematics question
Let A = {0, 1, 2, 3, 4, 5}. Let R be a relation on A defined by (x, y) R if and only if max{x, y} {3, 4}. Then among the statements
(S1) : The number of elements in R is 18, and
(S2) : The relation R is symmetric but neither reflexive nor transitive.
Answer: (1)
Solution
There are 20 pairs total, so S1 (18) is false. R is symmetric (since max(x,y)=max(y,x)), not reflexive
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