CUET Preparation Today
CUET
Mathematics
Sets
Three sets A, B, C are such that $A = B ∩C$ and $B=C∩A$, then
$A⊂B$
$A⊃B$
$A \equiv B$
$A⊂B'$
The correct answer is Option (3) → $A=B$
We have,
$A = B ∩C$ and $B=C∩A$
$\Rightarrow A=(C∩A)∩C$
$\Rightarrow A \equiv B$