Question

The co-ordinates of the point which divides the join of the points (2, –1, 3) and (4, 3, 1) in the ratio 3 : 4 internally are given by

• A. $\frac{2}{7},\frac{20}{7},\frac{10}{7}$
• B. $\frac{15}{7},\frac{20}{7},\frac{3}{7}$
• C. $\frac{10}{7},\frac{15}{7},\frac{2}{7}$
• D. $\frac{20}{7},\frac{5}{7},\frac{15}{7}$

Answer 1

Answer: (D)

$\frac{20}{7},\frac{5}{7},\frac{15}{7}$

Answer 2

$\left( \frac{m_{1}x_{2} + m_{2}x_{1}}{m_{1} + m_{2}},\frac{m_{1}y_{2} + m_{2}y_{1}}{m_{1} + m_{2}},\frac{m_{1}z_{2} + m_{2}z_{1}}{m_{1} + m_{2}} \right)$

$\left( \frac{20}{7},\frac{5}{7},\frac{15}{7} \right)$