ECZ 2020 · O-Level Paper 1 — Coordinate Geometry

The points A and B are (-5, 15) and (3w, w) respectively. Given that the midpoint of the straight line joining A and B is (5, 10), find the value of w.

  • A. 103
  • B. -5
  • C. 253
  • D. 5

Verified working — step 1

Midpoint x-coordinate: -5 + 3w2= 5 ⇒ -5 + 3w = 10 ⇒ 3w = 15 ⇒ w = 5. (Check y: 15 + 52= …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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