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
\(\frac{1}{12}\)
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Correct Option: B
(\frac{\frac{1}{20} \times 6}{6}) = (\frac{6}{20}) x (\frac{1}{6}) = (\frac{1}{20})
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