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\(a * b = \frac{a}{b} - \frac{b}{a}\) , \(m > n > 0\)
Quantity A
Quantity B
\(\frac{1}{m} * \frac{1}{n}\)
\(\frac{1}{n} * \frac{1}{m}\)
A. The quantity in Column A is greater B. The quantity in Column B is greater C. The two quantities are equal D. The relationship cannot be determined from the information given
As we see A equals (n^2 - m^2) / m*n and B equals (m^2 - n^2) / m*n. As m is more than n and they are both positive, m^2 is also bigger than n^2. So m^2 - n^2 is positive and n^2-m^2 is negative. So A is a negative value and B is a positive value and thus B is bigger than A. Answer is B _________________
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Re: a * b = a/b - b/a
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04 Apr 2018, 15:19