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OAU Post-UTME Mathematics 2014 Question 14

Question 14

Coordinate Geometry

Obtain the centre of the circle 7(y2 + 10y) + 7x2 = 1

  1. A.(0,5)
  2. B.(−5,0)
  3. C.(0, −5)
  4. D.(5,0)
Show the answer and explanation

Answer: C ((0, −5))

Explanation

Divide by 7 and complete the square: x² + (y + 5)² = 1/7 + 25. The centre is (0, −5).