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SSC Sample Paper SSC CGL - Sample Paper-10

  • question_answer
    If \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=250\] and  \[ab+bc+ca=3,\]then a+ b+ c=?

    A)  + 16               

    B)  \[-16\]

    C)  \[\pm \,16\]                  

    D)  None of these

    Correct Answer: C

    Solution :

    \[{{(a+b+c)}^{2}}={{a}^{2}}+{{b}^{2}}+{{c}^{2}}+2\] \[(ab+bc+ca)\] \[\Rightarrow \]   \[{{(a+b+c)}^{2}}\]             \[=250+2\times 3=256\] \[\therefore \]      \[a+b+c=\sqrt{256}=\pm \,16\]


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