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

Open in App

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 A because there is only one pair.

Suggest Corrections

Similar questions

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

R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)}

A = {1, 2, 3, 4}

N \times n

\Rightarrow

Join BYJU'S Learning Program