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 \(\frac{25}{12}\)
jamb 1999mathematics

The correct answer is C. \(\frac{7}{12}\)

Given that \(m*n = (\frac{m}{n} - \frac{n}{m}\) for m, n belong to R, we can evaluate -3*4 by substituting m = -3 and n = 4 into the given expression:

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

So, the result of -3*4 is \(\frac{7}{12}\).

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