jee-main 2024 Q71

jee-main · India · session1_27jan_shift1 Not Maths

Let $S = \{ 1,2,3 , \ldots , 10 \}$. Suppose $M$ is the set of all the subsets of $S$, then the relation $R = \{ ( A , B ) : A \cap B \neq \phi ; A , B \in M \}$ is:
(1) symmetric and reflexive only
(2) reflexive only
(3) symmetric and transitive only
(4) symmetric only

Let $S = \{ 1,2,3 , \ldots , 10 \}$. Suppose $M$ is the set of all the subsets of $S$, then the relation $R = \{ ( A , B ) : A \cap B \neq \phi ; A , B \in M \}$ is:\\
(1) symmetric and reflexive only\\
(2) reflexive only\\
(3) symmetric and transitive only\\
(4) symmetric only

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