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If \(m*n = (\frac{m}{n} - \frac{n}{m}\)) for m, n belong to R, evaluate -3*4

Mathematics
JAMB 1999

If \(m*n = (\frac{m}{n} - \frac{n}{m}\)) for m, n belong to R, evaluate -3*4

  • A. \(\frac{-25}{12}\)
  • B. \(\frac{-7}{12}\)
  • C. \(\frac{7}{12}\)
  • D. \(\frac{25}{12}\)
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Correct Answer: Option C
Explanation

\(m*n = \frac{m}{n}-\frac{n}{m}
= \frac{-3}{4} - \frac{4}{-3}
= \frac{-3}{4} + \frac{4}{3}
= \frac{(-9+16)}{12}
= \frac{7}{12}\)


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