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.
-
A.
m = 0, n = 4 -
B.
m = 4, n = 0 -
C.
m = 2, n = 2 -
D.
m = -2, n = 4
Correct Answer: Option A
Explanation
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.