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Let 𝑅 be a binary relation on the set {1, 2, … , 10}, where (𝑥, 𝑦) ∈𝑅 if the product
of 𝑥 and 𝑦 is square of an integer. Which of the following properties is/are satisfied
by 𝑅?

  • GATE CS - 2026
  • GATE CS
  • Engineering Mathematics
  • Relations: Reflexive, Symmetric, Transitive, Antisymmetric
Let \(R\) be a binary relation on the set \(\{1, 2, \ldots, 10\}\), where \((x,y) \in R\) if the product of \(x\) and \(y\) is square of an integer. Which of the following properties is/are satisfied by \(R\)?
  • GATE CS - 2026
  • GATE CS
  • Engineering Mathematics
  • Relations: Reflexive, Symmetric, Transitive, Antisymmetric