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

  • question_answer
    The roots of the equation \[{{x}^{2}}-2px+4q=0\] are consecutive integers. The discriminant of the equation will be:

    A)  1   

    B)  0            

    C)  6                                

    D)  16

    Correct Answer: A

    Solution :

    (a): Let, n, n + 1 be roots. \[\therefore 2p=2n+1\] and \[4q={{n}^{2}}+n\]; Now \[D=4{{p}^{2}}-16q={{(2n+1)}^{2}}-4({{n}^{2}}+n)=1\]                          


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