JAMB Mathematics 2000 Question 28

Question 28

Coordinate Geometry

3y = 4x − 1 and Ky = x + 3 are equations of two straight lines. If the two lines are perpendicular to each other, find K.

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

Answer: A (−4/3)

Explanation

The gradients are 4/3 and 1/K. For perpendicular lines their product is −1, so 4/(3K) = −1 and K = −4/3.