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JAMB Mathematics 2012 Question 33

Question 33

Coordinate Geometry

The distance between the point (4,3) and the intersection of y = 2x + 4 and y = 7 − x is

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

Answer: B (3√2)

Explanation

2x + 4 = 7 − x gives x = 1, y = 6. Distance from (4, 3) = √(32 + 32) = √18 = 3√2.