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WAEC Further Mathematics 2022 Question 33

Question 33

Coordinate Geometry

The equation of a circle is given as 2x2 + 2y2 − x − 3y − 41 = 0. Find the coordinates of its centre.

  1. A.(−¼, ¾)
  2. B.(¼, ¾)
  3. C.(−½, 3/2)
  4. D.(−½, −3/2)
Show the answer and explanation

Answer: B ((¼, ¾))

Explanation

Divide by 2: x² + y² − ½x − (3/2)y − 41/2 = 0. The centre is (¼, ¾).