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JAMB Mathematics 2009 Question 24

Question 24

Coordinate Geometry

Find the acute angle between the straight lines y = x and y = √3x

  1. A.15°
  2. B.30°
  3. C.45°
  4. D.60°
Show the answer and explanation

Answer: A (15°)

Explanation

y = x makes 45° with the x-axis (tan 45° = 1) and y = √3x makes 60° (tan 60° = √3). The angle between them is 60° − 45° = 15°.