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.
A. m = 0, n = 4
B. m = 4, n = 0
C. m = 2, n = 2
D. m = -2, n = 4

Correct Option: Answer is A

Solution:
Q(m, n) and R(n, -4)
Midpoint : P(2, m)
((m+n)/2,(n-4)/2)=(2,m)
m+n=2×2⟹m+n=4…(i)
n−4=2×m⟹n−4=2m…(ii)
Solving (i) and (ii) simultaneously,
m = 0 and n = 4.

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