JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Solution of quadratic equations and Nature of roots

  • question_answer
    The roots of \[4{{x}^{2}}+6px+1=0\] are equal, then the value of p is [MP PET 2003]

    A) \[\frac{4}{5}\]

    B) \[\frac{1}{3}\]

    C) \[\frac{2}{3}\]

    D) \[\frac{4}{3}\]

    Correct Answer: C

    Solution :

    Roots of equation \[4{{x}^{2}}+6px+1=0\] are equal \[\therefore {{B}^{2}}-4AC=0\] Þ \[{{(6p)}^{2}}=4.4.1\]\[\Rightarrow 36{{p}^{2}}=16\]\[\Rightarrow p=2/3\].


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