JEE Main & Advanced JEE Main Paper (Held on 09-4-2019 Morning)

  • question_answer For any two statements p and q, the negation of the expression \[p\vee (\tilde{\ }p\wedge q)\]is             [JEE Main 9-4-2019 Morning]

    A) \[p\wedge q\]               

    B) \[p\leftrightarrow q\]

    C) \[\tilde{\ }p\vee q\tilde{\ }q\]              

    D) \[\tilde{\ }p\wedge \tilde{\ }q\]

    Correct Answer: D

    Solution :

    \[\tilde{\ }(p\vee (\tilde{\ }p\wedge q))\]           \[=\tilde{\ }p\wedge \tilde{\ }(\tilde{\ }p\wedge q)\]           \[=\tilde{\ }p\wedge (p\vee \tilde{\ }q)\]           \[=(\tilde{\ }p\wedge p)\vee (\tilde{\ }p\wedge \tilde{\ }q)\]           \[=c\vee (\tilde{\ }p\wedge \tilde{\ }p)\]           \[=(\tilde{\ }p\wedge \tilde{\ }q)\]

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