2019
Mathematics
67ca00ce0c643c71d77dee1f
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: m = 0, n = 4
Explanation
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.
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.THIS WEEK's
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