Subject

    গাণিতিক যুক্তি

    Topic

    সূচক ও লগারিদম

    If a > 0, b < 0, and c > a which of the following must be positive?

    ক)
    (a/b-b/c)/(c-b)
    খ)
    (b/a-c/b)/(a-b)
    গ)
    (c/b-a)/(a-c)
    ঘ)
    abc/(c+b)

    Explanation

    যেহেতু a > 0,  c > a  তাই a=1 ও c=2 ধরি। b=-1 অপশন a) {1/(-1) -(-1)/2}/(2+1) = (-1+1/2)/3 = (-1/2)/3 = -1/6 [Negative] অপশন c) {(2/-1)-1}/(1-2) =-3/-1 =3 [Positive]

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