JEE Main 2026 Mathematics question

MathematicsSets and RelationJEE Main 2026

Let R={(x,y)∈ℕ×ℕ : +y)≤2}. Then the minimum number of elements, required to be added in R to make it a transitive relation, is .

Answer: 15

Solution

Since e²≈7.39, R={(x,y): x,y≥1, x+y≤7}, which has 21 elements. Its transitive closure is every pair (x,y) with

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Question ID VK-015580