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OAU Post-UTME Mathematics 2011 Question 19

Question 19

Coordinate Geometry

The line perpendicular to the straight line y + (3/2)x − 1 = 0 has the gradient

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

Answer: D (2/3)

Explanation

The given line is y = −(3/2)x + 1, gradient −3/2. A perpendicular gradient is −1 ÷ (−3/2) = 2/3.