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

  • question_answer
    If \[R=\{x,y\}:x,y\in I\] and \[{{x}^{2}}+{{y}^{2}}\le 4\}\] is a relation in I, the domain of R is

    A) \[\{0,1,2\}\]

    B) \[\{-2,-1,0\}\]

    C) \[\{-2,-1,\,\,0,\,1,\,\,2\}\]

    D)        I

    Correct Answer: C

    Solution :

    [c] \[{{x}^{2}}+{{y}^{2}}\le 4\], represents all points interior to the circle \[{{x}^{2}}+{{y}^{2}}=4,\] hence \[-2\le x\le 2\] and \[-2\le y\le 2\] \[\therefore \] integral values of x are \[-2,-1,0,1,2\]


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