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WAEC Further Mathematics 2008 Question 10

Question 10

Coordinate Geometry

What is the coordinates of the centre of the circle 5x2 + 5y2 − 15x + 25y − 3 = 0?

  1. A.(15/2, −25/2)
  2. B.(3/2, −5/2)
  3. C.(−3/2, 5/2)
  4. D.(−15/2, 25/2)
Show the answer and explanation

Answer: B ((3/2, −5/2))

Explanation

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