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Let $$A=\{2,3,6,8,9,11\}$$ and $$B=\{1,4,5,10,15\}$$. Let $$R$$ be a relation on $$A \times B$$ defined by $$(a, b) R(c, d)$$ if and only if $$3 a d-7 b c$$ is an even integer. Then the relation $$R$$ is

JEE · Math · previous-year question

  1. A.reflexive but not symmetric.
  2. B.an equivalence relation.
  3. C.reflexive and symmetric but not transitive.
  4. D.transitive but not symmetric.

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