Page 8 - 102math-wb-w3-(analytic geometry)
P. 8
WORKBOOK
CA
b) LetC AB and C AB. If p then C is the point that divides AB in the ratio p
CB
externally.
Ex: In the diagram below, the points A, B, C, and D are collinear. If 3 AC 4 BC 4 BD then find
the ratio of points C and D that divides AB .
THE COORDINATES OF A POINT THAT DIVIDES A LINE SEGMENT IN THE RATIO OF “k”
INTERNALLY
Let the points A(x ,y ), B(x ,y ), and C(x,y) AB are given in the Analytic Plane,
1 1 2 2
CA x kx y ky
If k , then x 1 2 and y 1 2 (k )
CB 1 k 1 k
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102math-wb-w3-(Vector)
