Maths-
General
Easy

Question

Let A and B two sets such that n( AxB)= 6 . If three elements of AXB are ( 3,2)(7,5)(8,5), then

  1. A= {3,7,8}
  2. {2,5,7}
  3. {3,5}
  4. None of the above

hintHint:

Hint:- Cartesian product of A and B is denoted by A X B and it is defined as set og all ordered pairs (a, b) such that and

The correct answer is: A= {3,7,8}


    We have given the two sets A and B
    And n( A x B)= 6
    Therefore, the one set should contain 3 and one should contain 2 elements
    Since, {(3,2),(7,5),(8,5)} are the elements of A×B.
    It follows that the elements of
    set A={3,7,8}
    and B={2,5}
    Hence,
    A × B = {(3,2),(3,5),(7,2),(7,5),(8,2),(8,5)}
    Therefore the correct option is a) A= {3,7,8}

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