passwella.
Menu

WAEC Further Mathematics 2016 Question 24

Question 24

Coordinate Geometry

Points E(−2, −1) and F(3, 2) are the ends of the diameter of a circle. Find the equation of the circle.

  1. A.x2 + y2 − 5x + 3 = 0
  2. B.x2 + y2 − 2x − 6y − 13 = 0
  3. C.x2 + y2 − x + 5y − 6 = 0
  4. D.x2 + y2 − x − y − 8 = 0
Show the answer and explanation

Answer: D (x2 + y2 − x − y − 8 = 0)

Explanation

(x + 2)(x − 3) + (y + 1)(y − 2) = 0 gives x² + y² − x − y − 8 = 0.