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Let a set A = A1 $$\cup$$ A2 $$\cup$$ ..... $$\cup$$ Ak, where Ai $$\cap$$ Aj = $$\phi$$ for i $$\ne$$ j, 1 $$\le$$ j, j $$\le$$ k. Define the relation R from A to A by R = {(x, y) : y $$\in$$ Ai if and only if x $$\in$$ Ai, 1 $$\le$$ i $$\le$$ k}. Then, R is :

JEE · Math · previous-year question

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

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