The binary operation oplus defined on the set o... - JAMB Mathematics 2006 Question
The binary operation \(\oplus\) defined on the set of real numbers is such that x \(\oplus\) y = \(\frac{xy}{6}\) for all x, y \(\epsilon\) R. Find the inverse of 20 under this operation when the identity element is 6
A
\(\frac{9}{5}\)
B
\(\frac{1}{20}\)
C
\(\frac{10}{3}\)
D
\(\frac{1}{12}\)
correct option: b
\(\frac{\frac{1}{20} \times 6}{6}\) = \(\frac{6}{20}\) x \(\frac{1}{6}\) = \(\frac{1}{20}\)
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