WAEC Further Mathematics 2023 Objective — Question 5

Question 5 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2023 Objective paper, with the correct answer and a full explanation.

A binary operation * is defined on the set of real numbers, R by x*y = (y^2-x^2)/2xy, x,y not 0. Evaluate -3*2.

A. 13/12
B. 5/12Correct
C. -5/12
D. -13/12

Explanation

x*y=(y^2-x^2)/(2xy). -3*2 = (2^2-(-3)^2)/(2(-3)(2)) = (4-9)/(-12) = -5/-12 = 5/12.

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