Which one of the following conditions characterises a reflexive relation on a…

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

Problem

Which one of the following conditions characterises a reflexive relation

R

on a non-empty set

A

? (a)

(a,b)\in R \Rightarrow (b,a)\in R

for all

a,b\in A

(b)

(a,a)\in R

for some

a\in A

(c)

(a,a)\in R

for every

a\in A

(d) If

(a,b)\in R

and

(b,c)\in R

, then

(a,c)\in R

for all

a,b,c\in A