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WAEC Further Mathematics 2008 Question 39

Question 39

Coordinate Geometry

The distance between P(x, 7) and Q(6, 19) is 13 units. Find the values of x

  1. A.1 or −7
  2. B.1 or 7
  3. C.1 or 11
  4. D.5 or −5
Show the answer and explanation

Answer: C (1 or 11)

Explanation

(6 − x)2 + 122 = 169, so (6 − x)2 = 25 and 6 − x = ±5. Hence x = 1 or 11.