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  • Help me please, - Sets, Relations and Functions - JEE Main-3

If A\cap B = \{1,3\}; A\cap C = \{3,5\}, then find A\times (B\cap C)

  • Option 1)

    {(1,3); (1,1)}

  • Option 2)

    {(1,3); (1,5)}

  • Option 3)

    {(1,3); (1,5); (3,5)}

  • Option 4)

    {(1,3); (1,5); (3,3); (3,5)}

 

Answers (1)

best_answer

As we have learnt,

 

Theorem of Cartesian Product -

AX(B\cap C)=(A\cap B)X (A\cap C)

-

 

 A\times (B\cap C) = (A\cap B)\times (A\cap C) = \{1,3\}\times\{3,5\} = \{(1,3); (1,5); (3,3); (3,5)\}

 


Option 1)

{(1,3); (1,1)}

Option 2)

{(1,3); (1,5)}

Option 3)

{(1,3); (1,5); (3,5)}

Option 4)

{(1,3); (1,5); (3,3); (3,5)}

Posted by

Himanshu

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