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UI Post-UTME Mathematics 2023 (Model questions) Question 14

Question 14

Coordinate Geometry

The equation of the circle with centre (2, −3) and radius 5 is

  1. A.(x − 2)2 + (y + 3)2 = 25
  2. B.(x + 2)2 + (y − 3)2 = 25
  3. C.(x − 2)2 + (y + 3)2 = 5
  4. D.(x + 2)2 + (y − 3)2 = 5
Show the answer and explanation

Answer: A ((x − 2)2 + (y + 3)2 = 25)

Explanation

A circle with centre (a, b) and radius r is (x − a)² + (y − b)² = r², giving (x − 2)² + (y + 3)² = 25.