passwella.
Menu

JAMB Mathematics 1994 Question 35

Question 35

Coordinate Geometry

If M(4, q) is the mid-point of the line joining L(p, −2) and N(q, p), find the values of p and q.

  1. A.p = 2, q = 4
  2. B.p = 3, q = 1
  3. C.p = 5, q = 3
  4. D.p = 6, q = 2
Show the answer and explanation

Answer: D (p = 6, q = 2)

Explanation

Midpoint: (p + q)/2 = 4 and (−2 + p)/2 = q. So p + q = 8 and p = 2q + 2, giving 3q + 2 = 8, q = 2 and p = 6.