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WAEC Further Mathematics 2006 Question 30

Question 30

Coordinate Geometry

Find the coordinates of the centre of the circle 4x2 + 4y2 − 5x + 3y − 2 = 0.

  1. A.(−5/4, 3/4)
  2. B.(3/8, −5/8)
  3. C.(5/8, −3/8)
  4. D.(5/4, −3/4)
Show the answer and explanation

Answer: C ((5/8, −3/8))

Explanation

Divide by 4: x² + y² − (5/4)x + (3/4)y − ½ = 0. The centre is (−g, −f) = (5/8, −3/8).