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

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.

Q(m, n) and R(n, -4)

Midpoint : P(2, m)

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

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

\(n - 4 = 2 \times m \implies n - 4 = 2m ... (ii)\)

Solving (i) and (ii) simultaneously,

m = 0 and n = 4.

There is an explanation video available below.

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