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SSC Sample Paper Mock Test-6 SSC CGL Tear-II Paper-1

  • question_answer
    The value of \[\frac{a}{(a-b)(a-c)}+\frac{b}{(b-c)(b-a)}+\frac{c}{(c-a)(c-b)}\]

    A)  \[2a\]   

    B)                     \[0\]

    C)  \[2b\]                           

    D)  \[b-c\]

    Correct Answer: B

    Solution :

    \[\frac{a}{(a-b)(a-c)}+\frac{b}{(b-c)(b-a)}+\frac{c}{(c-a)(c-b)}\]
    \[=\frac{-\,\,a}{(a-b)(c-a)}-\frac{b}{(b-c)(a-b)}-\frac{c}{(c-a)(b-c)}\]
    \[=\frac{(-\,\,a)(b-c)-b(c-a)-c(a-b)}{(a-b)(b-c)(c-a)}\]
    \[=\frac{-ab+ac-bc+ab-ac+bc}{(a-b)(b-c)(c-a)}\]
    \[=\frac{0}{(a-b)(b-c)(c-a)}=0\]


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