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WAEC Further Mathematics 2021 Question 36

Question 36

Coordinate Geometry

Find the radius of the circle 2x2 − 4x + 2y2 − 6y − 2 = 0.

  1. A.17/4
  2. B.17/2
  3. C.√17/2
  4. D.√(17/2)
Show the answer and explanation

Answer: C (√17/2)

Explanation

Divide by 2: x² − 2x + y² − 3y − 1 = 0, i.e. (x − 1)² + (y − 3/2)² = 17/4. r = √17/2.