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WAEC Further Mathematics 2022 Question 40

Question 40

Coordinate Geometry

The length of the line joining points (x, 4) and (−x, 3) is 7 units. Find the value of x.

  1. A.4√3
  2. B.2√6
  3. C.3√2
  4. D.2√3
Show the answer and explanation

Answer: D (2√3)

Explanation

(2x)² + 1² = 49, so 4x² = 48, x² = 12 and x = 2√3 (taking the positive value).