JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2013

  • question_answer
        Which of the following relation is a function?

    A)  \[R=\{(x,y):{{x}^{2}}+{{y}^{2}}\le 9\}\]on R

    B)  \[A=\{1,2,3\},B=\{1,2,3,4,5\}\] and \[r=\{(x,\text{ }y):5x+2y\]is a prime number} on A

    C)  \[A=\{1,2,3,4\},B=\{1,2,3,4,5,6,7\}\]and\[R\{(x,y)|y={{x}^{2}}-3x+3\}\]on A

    D)  None of the above

    Correct Answer: D

    Solution :

                    The relation R in  contains\[(1,-1)\]and (1,1). So, is not a function. The relation R in  contains (1,1) and (1,3). So, is not a function. Again, the relation\[R\]in  contains (1,1) and (1,2). So, is not a function.


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