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WAEC Further Mathematics 2017 Question 5

Question 5

Coordinate Geometry

Find the coordinates of the centre of the circle 3x2 + 3y2 − 4x + 8y − 2 = 0.

  1. A.(−2, 4)
  2. B.(−2/3, 4/3)
  3. C.(2/3, −4/3)
  4. D.(2, −4)
Show the answer and explanation

Answer: C ((2/3, −4/3))

Explanation

Divide by 3 first: x² + y² − (4/3)x + (8/3)y − 2/3 = 0. The centre is (2/3, −4/3).