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JAMB Mathematics 2006 Question 29

Question 29

Coordinate Geometry

PQ and RS are two parallel lines. If the coordinates of P, Q, R, S are (1, q), (3, 2), (3, 4), (5, 2q) respectively, find the value of q.

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

Answer: D (2)

Explanation

Gradient of PQ = (2 − q)/2 and gradient of RS = (2q − 4)/2. Parallel lines have equal gradients, so 2 − q = 2q − 4 and q = 2.