#### Question

If A = {a, b, c}, then the relation R = {(b, c)} on A is _______________ .

reflexive only

symmetric only

transitive only

reflexive and transitive only

#### Solution

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 A 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.