Unilorin Post-UTME Mathematics 2022 (Model questions) Question 4

Question 4

Coordinate Geometry

If the midpoint of (2, x) and (y, 2) is (4, 2), the respective values of x and y are

  1. A.2, 6
  2. B.3, 6
  3. C.4, 3
  4. D.6, 4
Show the answer and explanation

Answer: A (2, 6)

Explanation

Midpoint: (2 + y)/2 = 4 gives y = 6, and (x + 2)/2 = 2 gives x = 2. So x = 2, y = 6.