Let $$R = \left\{ {\left( {1,\,3} \right),\left( {4,\,2} \right),\left( {2,\,4} \right),\left( {2,\,3} \right),\left( {3,\,1} \right)} \right\}$$ be a relation on the set $$A = \left\{ {1,\,2,\,3,\,4} \right\}.$$ The relation $$R$$ is :
A.
reflexive
B.
transitive
C.
not symmetric
D.
a function
Answer :
not symmetric
Solution :
$$\eqalign{
& \left( {2,\,3} \right)\, \in \,R{\text{ but }}\left( {3,\,2} \right)\, \notin \,R \cr
& \therefore \,R{\text{ is not symmentric}}{\text{.}} \cr} $$
Releted MCQ Question on Calculus >> Sets and Relations
Releted Question 1
If $$X$$ and $$Y$$ are two sets, then $$X \cap {\left( {X \cup Y} \right)^c}$$ equals.