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JAMB Mathematics 1997 Question 34

Question 34

Coordinate Geometry

Find the distance between the point Q(4, 3) and the point common to the lines 2x − y = 4 and x + y = 2.

  1. A.3√10
  2. B.3√5
  3. C.√26
  4. D.√13
Show the answer and explanation

Answer: D (√13)

Explanation

Adding the equations gives 3x = 6, so x = 2 and y = 0. Distance from (4, 3) to (2, 0) = √(2² + 3²) = √13.