# If $A\cap B= P\: and B\cap C= Q$. Then which of the following is true? Option 1) $P\cap C= Q\cap C$ Option 2) $P\cap B= Q\cap A$ Option 3) $P\cap C= A\cap Q$ Option 4) $P\cap C= B\cap Q$

H Himanshu

As we learnt

ASSOCIATIVE PROPERTY OF INTERSECTION -

(A ∩ B) ∩ C = A ∩ (B ∩ C)

-

As (A ∩ B) ∩ C = A ∩ (B ∩ C)

Thus P ∩ C = A ∩ Q

Option 1)

$P\cap C= Q\cap C$

Option 2)

$P\cap B= Q\cap A$

Option 3)

$P\cap C= A\cap Q$

Option 4)

$P\cap C= B\cap Q$

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