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JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relations and Functions-I

  • question_answer
    Suppose that the number of elements in set A is p, the number of elements in set B is q and the number of elements in \[A\times B\] is 7. Then \[{{p}^{2}}+{{q}^{2}}=\]

    A) 42

    B)        49

    C) 50

    D)        51

    Correct Answer: C

    Solution :

    [c] \[n(A)=p,\,\,n(B)=q;\,\,n(A\times B)=pq=7\] so, possible values of p, q are 7, 1\[\Rightarrow {{p}^{2}}+{{q}^{2}}={{(7)}^{2}}+{{(1)}^{2}}=50.\]


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