2. Solved Papers
  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    If a, b and c are distinct positive real numbers in AP, then the roots of the equation \[a{{x}^{2}}+2bx+c=0\]are:

    A)  imaginary

    B)  rational and equal

    C)  rational and distinct

    D)  irrational

    E)  real, may be rational or irrational

    Correct Answer: C

    Solution :

    \[\because \]a, b, care in AP \[\Rightarrow \]        \[2b=a+c\]                                ...(i) Now,       \[D=4{{b}^{2}}-4ac\] \[={{(a+c)}^{2}}-4ac\] \[={{(a-c)}^{2}}\ge 0\] Roots of the given equation are rational and distinct.


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