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WAEC Further Mathematics 2012 Question 37

Question 37

Coordinate Geometry

Find the acute angle between the line 2x + y = 4 and −3x + y + 7 = 0

  1. A.40°
  2. B.44°
  3. C.45°
  4. D.54°
Show the answer and explanation

Answer: C (45°)

Explanation

Gradients are −2 and 3. tan θ = |(3 − (−2))/(1 + (−2)(3))| = |5/(−5)| = 1, so θ = 45°.