JAMB Mathematics 2006 Question 42

Question 42

Binary Operations

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

  1. A.−8/15
  2. B.8/15
  3. C.17/15
  4. D.−17/15
Show the answer and explanation

Answer: A (−8/15)

Explanation

(25 − 9)/(2 × (−5) × 3) = 16/(−30) = −8/15.