#symmetric relation

2 public questions tagged with this topic.

Sets, Relations and Functions

(a₁, a₂) ∈R implies that (a₂, a₁) ∈ R, for all a₁, a₂∈A. This condition is for which of the following relations?

Notice that after simplifying, Symmetric relation is left. The method is simple: formula → substitution → calculation → answer.

Ref: NCERT Mathematics Class XI — Sets, Relations and Functions

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Matrices and Determinants 3

Which of the following relations is symmetric but neither reflexive nor transitive for a set A = 1, 2, 3.

Think of it like this: using formula we get R = (1, 2), (2, 1). Calculation gives this directly, check steps: apply rule, substitute values, simplify to get R = (1, 2), (2, 1).

Ref: NCERT Mathematics Class XII — Matrices and Determinants

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#symmetric relation

No questions with this tag

(a₁, a₂) ∈R implies that (a₂, a₁) ∈ R, for all a₁, a₂∈A. This condition is for which of the following relations?

Which of the following relations is symmetric but neither reflexive nor transitive for a set A = 1, 2, 3.

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