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OAU Post-UTME Mathematics 2013 Question 17

Question 17

Coordinate Geometry

What is the coordinate of centre of the circle x2 + y2 + 2x − 4y = 10?

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

Answer: C ((−1, 2))

Explanation

Complete the squares: (x + 1)² + (y − 2)² = 15, so the centre is (−1, 2).