#reflexive

2 public questions tagged with this topic.

Sets, Relations and Functions

(a,a) ∈ R, for every a ∈ A. This condition is for which of the following relations?

Applying the basic concept, complete solution: write formula, plug data, do arithmetic. Final value matches Reflexive relation. Simple and accurate.

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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#reflexive

No questions with this tag

(a,a) ∈ R, for every a ∈ 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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