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a binary operation oplus o the set of rational ... - JAMB Mathematics 2006 Question

a binary operation (\oplus) o the set of rational numbers is defined as x (\oplus) y = (\frac{x^2 - y^2}{2xy}). Find -5 (\oplus) 3

A
\(\frac{8}{15}\)
B
-\(\frac{17}{15}\)
C
\(\frac{17}{15}\)
D
\(\frac{8}{-15}\)
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Correct Option: D

(\frac{(-5)^2 - (3^2)}{2(-5)(+3)})

= (\frac{25 - 9}{-30})

= (\frac{16}{-30})

= (\frac{8}{-15})

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