If P(2, m) is the midpoint of the line joining Q(m, n) and R(n, -4), find the values of m and n.

Assessment: JAMB UTME - Mathematics - 2019 Subject: General Mathematics

Question 1 Report

m = 0, n = 4

m = 4, n = 0

m = 2, n = 2

m = -2, n = 4

Answer Details

Q(m, n) and R(n, -4)
Midpoint : P(2, m)

⟹ (\frac{m + n}{2}, \frac{n - 4}{2}) = (2, m)

m + n = 2 \times 2 ⟹ m + n = 4 . . . (i)

n - 4 = 2 \times m ⟹ n - 4 = 2 m . . . (i i)

Solving (i) and (ii) simultaneously,
m = 0 and n = 4.

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