MCQ
જો બે ગણો $A$ અને $B$ માટે $A \cup B = A \cap B $ થાય તોજ જ . . ..
- A$A \subseteq B$
- B$B \subseteq A$
- ✓$A = B$
- Dએકપણ નહી.
==> $x \in A \cap B$,$[\because A \cup B = A \cap B]$
==> $x \in A$ and $x \in B$ ==> $x \in B$, $\therefore A \subseteq B$
Similarly, $x \in B$ ==> $x \in A$, $\therefore B \subseteq A$
Now $A \subseteq B,\,\,B \subseteq A$ ==> $A = B$.
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