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SSC Sample Paper Mock Test-10 SSC CGL Tear-II Paper-1

  • question_answer
    If \[a+b+c=6,\]\[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}=26,\]then what is the value of \[ab+bc+ca?\]

    A)  0

    B)  2

    C)  4

    D)  5

    Correct Answer: D

    Solution :

    \[{{(a+b+c)}^{2}}={{a}^{2}}+{{b}^{2}}+{{c}^{2}}+2\,\,(ab+bc+ca)\] \[{{(6)}^{2}}=26+2\,\,(ab+bc+ca)\] \[2\,\,(ab+bc+ca)=10\] \[ab+bc+ca=\frac{10}{2}\] \[ab+bc+ca=5\]


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