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WAEC Further Mathematics 2019 Question 29

Question 29

Coordinate Geometry

Find the coordinates of the centre of the circle 3x2 + 3y2 − 6x + 9y − 5 = 0.

  1. A.(−3, 9/2)
  2. B.(−1, 3/2)
  3. C.(1, −3/2)
  4. D.(3, −9/2)
Show the answer and explanation

Answer: C ((1, −3/2))

Explanation

Divide by 3: x² + y² − 2x + 3y − 5/3 = 0. The centre is (1, −3/2).