COMEDK · Maths · 20. Sets and Relations
If \(A=\{1,2,3,4\}\), then which one of the following is reflexive?
- 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 \(\{(1,2),(1,3),(1,4)\}\)
Answer & Solution
Correct Answer
(B) \(\{(1,1),(2,2),(3,3),(4,4)\}\)
Step-by-step Solution
Detailed explanation
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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