WAEC Further Mathematics 2025 Question 35

Question 35

Coordinate Geometry

Find the locus of points 8 cm from T(0, 3).

  1. A.x2 + y2 − 6y = 55
  2. B.x2 + y2 − 6y = 64
  3. C.x2 + y2 − 6y = 73
  4. D.x2 + y2 = 64
Show the answer and explanation

Answer: A (x2 + y2 − 6y = 55)

Explanation

The locus is the circle x² + (y − 3)² = 64, i.e. x² + y² − 6y + 9 = 64, so x² + y² − 6y = 55.