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

The correct option is D

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

From $x=\frac{m_1{x}_2+m_2{x}_1}{m_1+m_2},y=\frac{m_1{y}_2+m_2{y}_1}{m_1+m_2},z=\frac{m_1{z}_2+m_2{z}_1}{m_1+m_2};$
$x=\frac{20}{7},y=\frac{5}{7},z=\frac{15}{7}.$