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OAU Post-UTME Mathematics 2023 Question 20

Question 20

Coordinate Geometry

Find the coordinate of the point at which the perpendicular bisector of the line joining (2, 7) to (10, 3) meet the x-axis

  1. A.(−7/2, 0)
  2. B.(0, 7/2)
  3. C.(0, −7/2)
  4. D.(7/2, 0)
Show the answer and explanation

Answer: D ((7/2, 0))

Explanation

Midpoint is (6, 5) and the segment's gradient is −1/2, so the bisector has gradient 2: y − 5 = 2(x − 6). Put y = 0: x = 7/2, giving (7/2, 0).