Question

Given that the points A(3, 2, -4), B(5, 4, -6) and C(9, 8, -10) are collinear, the ratio in which B divides $\overline{AC}$ is :

• A. 1 : 2
• B. 2 : 1
• C. 3 : 2
• D. 2 : 3

Answer 1

The correct option is A 1 : 2

$(\frac{9m+3n}{m+n},\frac{8m+2n}{m+n},\frac{10m-4n}{m+n})=(5,4,-6)\frac{m}{n}=\frac{1}{2}$