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MATHEMATICS

JAMB 2006 - Question 42

Mathematics 2006 JAMB Past Questions - Question 42: A binary operation * on the set of rational numbers is defined as x * y = x² -y²/2xy. Find -5 * 3

Choose the most appropriate option for the gap .

A binary operation * on the set of rational numbers is defined as x * y = x² -y²/2xy. Find -5 * 3

A: -8/15

B: 8/15

C: 17/15

D: - 17/15

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Correct Answer

Explanation

x * y = x² -y²/2xy = (-5)² - (3)² /2 X (-5)(3) = 25 – 9/-30 = 16/-30 = -8/15