OAU Post-UTME Mathematics 2014 Question 12

Question 12

Coordinate Geometry

If m is the gradient of the line pq − px − qy = 0 and q ≠ 0, find 1/m

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

Answer: C (−q/p)

Explanation

qy = −px + pq, so y = (−p/q)x + p. m = −p/q and 1/m = −q/p.