WAEC Further Mathematics 2022 Question 1

Question 1

Binary Operations

A binary operation Δ is defined on the set of real numbers, R, by x Δ y = √(x + y − xy/4), where x, y ∈ R. Find the value of 4 Δ 3.

  1. A.16
  2. B.8
  3. C.4
  4. D.2
Show the answer and explanation

Answer: D (2)

Explanation

4 Δ 3 = √(4 + 3 − 12/4) = √4 = 2.