Question

The coordinates of a point which divides the line joining the points $P(2,3,1)$ and $Q(5,0,4)$ in the ratio $1:2$ are

• A. $(\frac{7}{3},1,\frac{5}{3})$
• B. $(4,1,3)$
• C. $(3,2,2)$
• D. $(1,-1,1)$

Answer 1

The correct option is C $(3,2,2)$

Using section formula,

Coordinate of the point which divides $P(2,3,1)$ and $Q(5,0,4)$ in ratio $1:2$ is

$(\frac{2\cdot 2+5}{2+1},\frac{2\cdot 3+0}{2+1},\frac{2\cdot 1+4}{2+1})$ $=(\frac{9}{3},\frac{6}{3},\frac{6}{3})=(3,2,2)$