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JAMB Mathematics 1999 Question 26

Question 26

Coordinate Geometry

Find the tangent of the acute angle between the lines 2x + y = 3 and 3x − 2y = 5.

  1. A.−7/4
  2. B.7/8
  3. C.7/4
  4. D.7/2
Show the answer and explanation

Answer: C (7/4)

Explanation

The gradients are −2 and 3/2. tan θ = |(−2 − 3/2)/(1 + (−2)(3/2))| = (7/2)/2 = 7/4, positive because the angle is acute.