Question

If $R$ divides the line segment joining $P(2,3,4)$ and $Q(4,5,6)$ in the ratio $-3:2$, then the parameter which represent $R$ is

• A. $3$
• B. $2$
• C. $1$
• D. $-1$

Answer 1

The correct option is A $3$

$x=\frac{-3\times 4+2\times 2}{-1}y=\frac{-3\times 5+2\times 3}{-1}$

$x=\frac{-12+4}{-1}$$y=\frac{-15+6}{-1}$

$x=8y=9$

$z=\frac{-3\times 6+2\times 4}{-1}=\frac{-10}{-1}$

$z=10$

$R=(8,9,10)$