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Question: Answered & Verified by Expert
If $A=\{1,2,3,4\}$, then which one of the following is reflexive?
MathematicsSets and RelationsCOMEDKCOMEDK 2014
Options:
  • A $\{(1,1),(2,3),(3,3)\}$
  • B $\{(1,1),(2,2),(3,3),(4,4)\}$
  • C $\{(1,2),(2,1)(3,2),(2,3)\}$
  • D $\{(1,2),(1,3),(1,4)\}$
Solution:
1291 Upvotes Verified Answer
The correct answer is: $\{(1,1),(2,2),(3,3),(4,4)\}$
Given, $A=[1,2,3,4]$
Let $R$ be a reflexive relation on $A$, then for each $x \in A,(a, a) \in R$
$\therefore$ Option (b) is true.

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