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

  • question_answer
    \[\left( x-1 \right)\left( 3-x \right){{\left( x-2 \right)}^{2}}>0\]

    A)  \[1<x<3\]                   

    B)  \[1<x<3\]but \[x\ne 0\]

    C)  \[0<x,2\]                     

    D)  \[-1<x<3\]

    Correct Answer: B

    Solution :

    (b): \[(x-1)(3-x){{(x-2)}^{2}}>0\] \[\Rightarrow (x-1)(3-x)>0(\therefore {{(x-2)}^{2}}\] is always >0, it being perfect square for \[x\ne 0\]) \[\Rightarrow (x-1)(x-3)<0\] and proceed to get the answer.


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