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WAEC Further Mathematics 2013 Question 18

Question 18

Coordinate Geometry

Find the coordinates of the point which divides the line joining P(−2, 3) and Q(4, 9) internally in the ratio 2 : 3.

  1. A.(5⅔, ⅖)
  2. B.(⅖, 5⅖)
  3. C.(⅖, 2⅖)
  4. D.(−⅖, 5⅖)
Show the answer and explanation

Answer: B ((⅖, 5⅖))

Explanation

x = (3(−2) + 2(4))/5 = 2/5, y = (3(3) + 2(9))/5 = 27/5 = 5⅖.