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.

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.

Answer Details

Q(m, n) and R(n, -4)
Midpoint : P(2, m)
$⟹(\frac{m+n}{2},\frac{n-4}{2})=(2,m)$
$m+n=2\times 2⟹m+n=4...\left(i\right)$
$n-4=2\times m⟹n-4=2m...\left(ii\right)$
Solving (i) and (ii) simultaneously,
m = 0 and n = 4.