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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2000

  • question_answer
    If\[4-5i\]is a root of the quadratic equation \[x+ax+b=0,\]then (a, b) is equal to:

    A)  (8, 41)                                 

    B)  \[(-8,41)\]         

    C)         (41, 8)                 

    D)         \[(-41,8)\]

    E)  \[(-8,-41)\]

    Correct Answer: B

    Solution :

    If\[4-5i\]is root of\[{{x}^{2}}+ax+b=0,\]then\[4+5i\]is also the root. \[\therefore \] Sum of roots\[=-a=8\] \[\Rightarrow \]               \[a=-8\] and product of roots \[=16+25=b=41\] \[\therefore \]  \[(a,b)=(-8,41)\]


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