Problem Statement
Point P divides the segment joining A(−1, 2) and B(5, 8) internally in the ratio AP:PB = 2:1. Find P.
Explanation
If P divides AB internally in ratio m:n (AP:PB = m:n), then P = ((m x_B + n x_A)/(m+n), (m y_B + n y_A)/(m+n)). With m=2, n=1, A(−1,2), B(5,8): x_P = (2×5 + 1×(−1))/3 = 9/3 = 3; y_P = (2×8 + 1×2)/3 = 18/3 = 6.
Code Solution
SolutionRead Only
P=((2·5+1·(−1))/3,(2·8+1·2)/3)=(3,6)
Practice Sets
This question appears in the following practice sets:
