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OAU Post-UTME Mathematics 2014 Question 1

Question 1

Coordinate Geometry

Find the angle in degree which the line x − √3y = 0 makes with the positive y-axis

  1. A.30
  2. B.90
  3. C.60
  4. D.180
Show the answer and explanation

Answer: C (60)

Explanation

y = x/√3 has gradient 1/√3 = tan 30°, so the line makes 30° with the x-axis and 90° − 30° = 60° with the y-axis.