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VIT Engineering VIT Engineering Solved Paper-2007

  • question_answer
    If \[{{b}^{2}}\ge 4ac\]for the equation\[a{{x}^{4}}+b{{x}^{2}}+c=0,\] then all the roots of the equation will be real if:

    A)  \[b>0,\text{ }a<0,\text{ }c>0\]

    B)  \[b<0,\text{ }a>0,\text{ }c>0\]

    C)  \[b>0,\text{ }a>0,\text{ }c>0\]

    D)  \[b>0,\text{ }a>0,\text{ }c<0\]

    Correct Answer: B

    Solution :

    If \[{{b}^{2}}-4ac\ge 0,\] then the equation \[a{{x}^{4}}+b{{x}^{2}}+c=0\] has all roots real, if \[b<0,\]\[a>0,\]\[c>0\]


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