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

A (a/b-b/c)/(c-b)

B (b/a-c/b)/(a-b)

C (c/b-a)/(a-c)

D abc/(c+b)

Solution

Correct Answer: Option C

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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