Practicing Success

Target Exam

CUET

Subject

Mathematics

Chapter

Sets

Question:

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

Options:

$A⊂B$

$A⊃B$

$A \equiv B$

$A⊂B'$

Correct Answer:

$A \equiv B$

Explanation:

The correct answer is Option (3) → $A=B$

We have,

$A = B ∩C$ and $B=C∩A$

$\Rightarrow A=(C∩A)∩C$

$\Rightarrow  A \equiv B$