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WAEC Further Mathematics 2020 Question 27

Question 27

Coordinate Geometry

Which of the following is not an equation of a circle?

  1. A.3x2 + 3y2 + 5x + 7y = 5
  2. B.x2 + y2 − 5x + 4y = 0
  3. C.5x2 + 5y2 − 16 = 0
  4. D.x2 − y2 + 3x − 5y = 2
Show the answer and explanation

Answer: D (x2 − y2 + 3x − 5y = 2)

Explanation

A circle needs equal (and same-sign) coefficients of x² and y². D has x² − y², so it is not a circle.