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  • Can someone explain - Sets, Relations and Functions - JEE Main-10

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

 

Answers (1)

best_answer

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

Posted by

Himanshu

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