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JEE Main & Advanced JEE Main Paper (Held On 12 April 2014)

  • question_answer
    A relation on the set \[a=\{x:|x|<3,x\in Z\},\]where Z is the set of integers is defined by \[R=\{x,y):y=|x|,x\ne -1\}.\]Then the number of elements in the power set of R is:   [JEE Main Online Paper ( Held On 12 Apirl  2014 )

    A) 32                                          

    B) 16

    C) 8                                             

    D) 64

    Correct Answer: B

    Solution :

                    \[A=\{x:|x|<3,x\in Z\}\] \[A=\{-2,-1,0,1,2\}\] \[R=\{(x,y):y=|x|,x\ne -1\}\] \[R=\{(-2,),(0,0),(1,1),(2,2)\}\] R has four elements Number of elements in the power set of \[R={{2}^{4}}=16\]


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