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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-1

  • question_answer
    If \[a+b+c=15\]and\[ab+be+ca=85\], then the value of \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}\] is -

    A)  65           

    B)  55

    C)  75           

    D)  85

    Correct Answer: B

    Solution :

     a + b + c = 15 Squaring both sides, we get             \[{{\left( a+b+c \right)}^{2}}~=225\] \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}+2\](ab + be + ca) = 225 \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}+2\]= \[225-2\times ~85\] = 225 ? 170 = \[\]


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