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Consider the following two binary relations on the set A = {a, b, c} : R1 = {(c, a), (b, b), (a, c), (c, c), (b, c), (a, a)} and R2 = {(a, b), (b, a), (c, c), (c, a), (a, a), (b, b), (a, c)}. Then :

JEE · Math · previous-year question

  1. A.both R1 and R2 are not symmetric.
  2. B.R1 is not symmetric but it is transitive.
  3. C.R2 is symmetric but it is not transitive.
  4. D.both R1 and R2 are transitive.

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