If the point $(3,4,5)$ divides the line segment joining the points $(1,2,3)$ and $(4,5,6)$ in the ratio $\lambda: 1$, then the point which divides the line segment joining the points $(3,4,5)$ and $(1,2,3)$ in the ratio $-1: \lambda$ is

Question

Aicharya · Accepted Answer

$	herefore \quad \frac{4 \lambda+1}{\lambda+1}=3 \Rightarrow \lambda=2$ According to question, Required point $=\left(\frac{3 \lambda-1}{\lambda-1}, \frac{4 \lambda-2}{\lambda-1}, \frac{5 \lambda-3}{\lambda-1}ight)$ $=\left(\frac{3 	imes 2-1}{2-1}, \frac{4 	imes 2-2}{2-1}, \frac{5 	imes 2-3}{2-1}ight)$ $=(5,6,7)$

If the point $(3,4,5)$ divides the line segment joining the points $(1,2,3)$ and $(4,5,6)$ in the ratio…

Solution