JEE Main & Advanced Sample Paper JEE Main Sample Paper-32

  • question_answer
               Let p and q be any two logical statements and \[r:p\to \left( \sim \text{ }p\vee \text{ }q \right)\]. If r has a truth value F, then the truth values of p and q are respectively

    A) F, F     

    B)                                    T, T

    C) F, T                        

    D)    T, F

    Correct Answer: D

    Solution :

    P q ~p \[\therefore \,AB=\sqrt{{{({{x}_{1}}-{{x}_{2}})}^{2}}\,+{{({{y}_{1}}+{{y}_{2}})}^{2}}+{{({{z}_{1}}-{{z}_{2}})}^{2}}}\] r
    T F F T T
    F F T T T
    T F F F F
    F T T T T
    \[\therefore \]Cleary from above table, if r has a truth value F, then the truth values of p and q are T and F respectively.


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