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Solution for If a = {A, B, C}, Then the Relation R = {(B, C)} on a is (A) Reflexive Only (B) Symmetric Only (C) Transitive Only (D) Reflexive and Transitive Only - CBSE (Commerce) Class 12 - Mathematics

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Question

If A = {abc}, then the relation R = {(bc)} on A is
(a) reflexive only
(b) symmetric only
(c) transitive only
(d) reflexive and transitive only

Solution

(c) transitive only

The relation R = {(b,c)} is neither reflexive nor symmetric because every element of A is not related to itself. Also, the ordered pair of R obtained by interchanging its elements is not contained in R.

We observe that R is transitive on because there is only one pair.

  Is there an error in this question or solution?
Solution If a = {A, B, C}, Then the Relation R = {(B, C)} on a is (A) Reflexive Only (B) Symmetric Only (C) Transitive Only (D) Reflexive and Transitive Only Concept: Types of Relations.
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