JEE Main 2024 Mathematics question

Let S = {1, 2, 3, …, 10}. Suppose M is the set of all the subsets of S, then the relation R = {(A, B) : A ∩ B ≠ φ ; A, B ∈ M} is:

Answer: (C)

Solution

The empty set φ belongs to M and φ ∩ φ = φ, so R is not reflexive. If A ∩ B ≠ φ then B ∩ A ≠ φ, so R is symmetric. It is

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Question ID VK-016717