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  • Confused! kindly explain, - Sets, Relations and Functions - JEE Main-5

If A{}'= B\: \: and\: \: B{}'= A. Then simplify \left ( A{}{}'\cup B{}' \right ){}'

  • Option 1)

    U

  • Option 2)

    A

  • Option 3)

    B

  • Option 4)

    \phi

 

Answers (1)

best_answer

As we learnt

 

COMPLEMENT PROPERTY -

 

U′ = φ and φ′ = U

-

 

 \left (A{}'\cup B{}' \right ){}'= \left ( A{}' \right ){}'\cap \left ( B{}' \right ){}'= A\cap B= \phi

since A and B are complement of each other A\cap B= \phi

 


Option 1)

U

Option 2)

A

Option 3)

B

Option 4)

\phi

Posted by

Himanshu

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