CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2008

  • question_answer
    Suppose a, b and c are real numbers such that\[\frac{a}{b}>1\]and\[\frac{a}{c}<0\]. Which one of the following is true?

    A)  \[a+b-c>0\]

    B)  \[a>b\]

    C)  \[(a-c)(b-c)>0\]

    D)  \[a+b+c>0\]

    E)  \[abc>0\]

    Correct Answer: C

    Solution :

    Given conditions are \[\frac{a}{b}>1\] and \[\frac{a}{c}<0\] 1. \[a>0\]iff\[c<0\]and also\[b>0\] 2. \[a<0\]iff\[c>0\]and also\[b<0\] Hence, option (c) satisfy the inequality.


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