Question:medium
Let $X = \{a_1, a_2, a_3, \ldots, a_n\}$ be a set consisting of $n$ elements. The relation $R = \{(a_1,a_1),(a_2,a_2),(a_3,a_3),\ldots,(a_n,a_n)\}$ on the set $X$ is:
Let $X = \{a_1, a_2, a_3, \ldots, a_n\}$ be a set consisting of $n$ elements. The relation $R = \{(a_1,a_1),(a_2,a_2),(a_3,a_3),\ldots,(a_n,a_n)\}$ on the set $X$ is:
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A relation containing only identity pairs $(a,a)$ is always reflexive, symmetric, and transitive.
Updated On: Apr 24, 2026
- reflexive, symmetric but not transitive
- reflexive, transitive but not symmetric
- transitive, symmetric but not reflexive
- reflexive, symmetric and transitive
- reflexive, not symmetric and not transitive
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The Correct Option is D
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