JEE Main 2026 Mathematics question
Consider the relation R on the set {−2, −1, 0, 1, 2} defined by (a, b) ∈ R if and only if 1 + ab > 0. Then, among the statements: I. The number of elements in R is 17 II. R is an equivalence relation
Answer: (A)
Solution
1+ab>0 means ab≥0 (ab is an integer). Of the 25 ordered pairs, those with ab<0 are (negative, positive) or (positive, negative):
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