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JEE Main 2024 Mathematics question

MathematicsSets and RelationJEE Main 2024

Let A = {1, 2, 3, …., 100}. Let R be a relation on A defined by (x, y) ∈ R if and only if 2x = 3y. Let R₁ be a symmetric relation on A such that R ⊂ R₁ and the number of elements in R₁ is n. Then, the minimum value of n is .

Answer: 66

Solution

R = {(3, 2), (6, 4), (9, 6), …, (99, 66)}, which has 33 elements (x = 3k ≤ 100 gives k ≤ 33). None of these pairs is

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Question ID VK-017279