Q108 / 180 · KCET 2020 · Mathematics

If a relation $R$ on the set $\{1,2,3\}$ be defined by $R=\{(1,1)\}$, then $R$ is

  • A
    Reflexive and symmetric
  • B
    Reflexive and transitive
  • Correct answer
    C
    Symmetric and transitive
  • D
    Only symmetric

Solution

Let $A=\{1,2,3\}$ $R=\{1,1\}$ $\{2,2\} \notin R, R$ is not reflexive but $R$ is symmetric and transitive.

Hence, the correct answer is option: 'C'.

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