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BITSAT2014MathematicsSets and RelationsActual

Let R= (3,3),(6,6),(9,9),(12,12),(6,12), (3,9),(3,12),(3,6) be a relation on the set A= 3,6,9,12 . Then, the relation is

Options

  1. Aan equivalence relation
  2. Breflexive and symmetric
  3. Creflexive and transitive
  4. Donlyreflexive

Correct answer

C. reflexive and transitive

Step-by-step solution

(3,3),(6,6),(9,9),(12,12), R . R isnot symmetricas (6,12) R but (12,6) RR is transitive as the only pair which needs verification is (3,6) and (6,12) R . (3,12) R

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