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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2004

  • question_answer
    If one of the roots of the equation \[{{x}^{2}}+bx+3=0\]is thrice the other, then b is equal to:

    A)  \[\pm 3\]                           

    B)         \[\pm 2\]

    C)  0                            

    D)         \[\pm 4\]

    E)  \[\pm 1\]

    Correct Answer: D

    Solution :

    Let\[\alpha \]be the one root of equation\[{{x}^{2}}+bx+3=0,\]then another root will be\[3\alpha \]. \[\therefore \]  \[4\alpha =-\text{ }b\] and         \[3{{\alpha }^{2}}=3\] \[\Rightarrow \]               \[a=\pm 1\] \[\therefore \]  \[b=\pm 4\]


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