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WAEC Further Mathematics 2014 Question 29

Question 29

Coordinate Geometry

Find the equation of a circle with centre (2, −3) and radius 2 units.

  1. A.x2 + y2 − 4x + 6y + 9 = 0
  2. B.x2 + y2 + 4x − 6y − 9 = 0
  3. C.x2 + y2 + 4x + 6y − 9 = 0
  4. D.x2 + y2 + 4x − 6y + 9 = 0
Show the answer and explanation

Answer: A (x2 + y2 − 4x + 6y + 9 = 0)

Explanation

(x − 2)² + (y + 3)² = 4 expands to x² + y² − 4x + 6y + 9 = 0.