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10th Class Mathematics Related to Competitive Exam Question Bank Quadratic Inequation

  • question_answer
    If \[m{{x}^{2}}<nx\] such that m and n have opposite signs, then which of the following can be true?

    A)  \[x\in \left( \frac{n}{m},\infty  \right)\]                 

    B)  \[x\in \left( -\infty ,\frac{n}{m} \right)\]

    C)  \[x\in \left( \frac{n}{m},0 \right)\]                       

    D)  None of these

    Correct Answer: C

    Solution :

    (c): \[m{{x}^{2}}-nx<0\Rightarrow x(mx-n)<0\] \[\Rightarrow x\left( x-\frac{n}{m} \right)<0\Rightarrow x\in \left( \frac{n}{m},0 \right)\]


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