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OAU Post-UTME Mathematics 2011 Question 18

Question 18

Coordinate Geometry

The circle 2x2 + 2(y − 3/2)2 = 2 has centre and radius respectively as

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

Answer: D ((0, 3/2) and 1)

Explanation

Divide by 2: x² + (y − 3/2)² = 1. The centre is (0, 3/2) and the radius is 1.