Question

Three sets $A,B$ and $C$ are such that $A=B\cap C$ and $B=C\cap A$, then

• A. $A\subset B$
• B. $A\supset B$
• C. $A=B$
• D. $A\subset B’$

Answer 1

The correct option is C

$A=B$

Explanation for correct option
Given $A=B\cap C$ and $B=C\cap A$
$A=B\cap C$

$B=C\cap A$
We can observe from the given figure that area are same for $A\&B$ and so can conclude that $A=B$

Hence option(C) is correct