Which of the following statements correctly describes a symmetric relation on a…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Which of the following statements correctly describes a symmetric relation on a non-empty set

A

? (a) For every

a\in A

(a,a)\in R

. (b) For all

a,b\in A

, exactly one of

(a,b)

(b,a)

belongs to

R

. (c) For all

a,b\in A

, if

(a,b)\in R

then

(b,a)\in R

. (d) For all

a,b\in A

(a,b)\in R\;\text{or}\;(b,a)\in R