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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 45

  • question_answer
    If roots of \[a{{x}^{2}}+bx+c=0\] where \[a\in {{R}^{+}}\], are two positive consecutive even integers, then

    A) \[|b|\le 6a\]          

    B)        \[\left| b \right|\ge 6a\]

    C) \[\left| b \right|=6a\]          

    D)        None of these

    Correct Answer: B

    Solution :

    [b] Let roots are \[\alpha \And \alpha +2\]       \[\left( \alpha \ge 2 \right)\] \[\therefore \alpha +\alpha +2=-\frac{b}{a}\ge 6;\]     \[i.e.\text{ }\left| b \right|\ge 6a\]


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