passwella.
Menu

WAEC Further Mathematics 2026 Question 10

Question 10

Coordinate Geometry

The coordinates of the centre of a circle is (−2, 5) and its area is 64π cm2. Find the equation of the circle.

  1. A.x2 + y2 − 4x + 10y − 35 = 0
  2. B.x2 + y2 + 4x − 10y + 35 = 0
  3. C.x2 + y2 + 4x − 10y − 35 = 0
  4. D.x2 + y2 − 4x + 10y + 35 = 0
Show the answer and explanation

Answer: C (x2 + y2 + 4x − 10y − 35 = 0)

Explanation

πr² = 64π gives r = 8. The circle is (x + 2)² + (y − 5)² = 64, i.e. x² + 4x + 4 + y² − 10y + 25 = 64, so x² + y² + 4x − 10y − 35 = 0.