11th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-8

  • question_answer
    The solution of \[\mathbf{6}+\mathbf{x}-{{\mathbf{x}}^{\mathbf{2}}}>\mathbf{0}\]is

    A)  \[-1<x<2\]      

    B) \[~-2<x<3\]

    C)  \[-2<x<-1\]            

    D)  None of these

    Correct Answer: B

    Solution :

    [b] \[\because 6+x-{{x}^{2}}>0\] \[-\left( {{x}^{2}}-x-6 \right)>0\] \[{{x}^{2}}-x-6<0\] \[\left( x-3 \right)\left( x-2 \right)<0\] Here, \[-2<x<3\] i.e. option [b] is correct.


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