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J & K CET Engineering J and K - CET Engineering Solved Paper-2006

  • question_answer
    If \[a{{x}^{3}}+b{{x}^{2}}+ex+d=0\]has a repeated root \[\alpha ,\]  then a is also a root of

    A)  \[3a{{x}^{2}}+2bx+d=0\]

    B)  \[a{{x}^{2}}+b\,x+c=0\]

    C)  \[3a{{x}^{2}}+2bx+c=0\]

    D)  \[6ax+2b=0\]

    Correct Answer: C

    Solution :

    \[\alpha \] is also a root of the equation which is obtained by the differentiation of given cubic equation ie, \[3a{{x}^{2}}+2bx+c=0.\]


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