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JAMB Mathematics 2002 Question 39

Question 39

Coordinate Geometry

Find the value of α if the line 2y − αx + 4 = 0 is perpendicular to the line y + (1/4)x − 7 = 0

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

Answer: C (8)

Explanation

The gradients are α/2 and −1/4. For perpendicular lines (α/2)(−1/4) = −1, so α = 8.