If P(2, m) is the midpoint of the line joining Q(m, n) an...
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.
m = 0, n = 4
m = 4, n = 0
m = 2, n = 2
m = -2, n = 4
Correct answer is A
Q(m, n) and R(n, -4)
Midpoint : P(2, m)
⟹(m+n2,n−42)=(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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