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

$\frac{2}{7}, \frac{20}{7}, \frac{10}{7}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{15}{7}, \frac{20}{7}, \frac{3}{7}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{10}{7}, \frac{15}{7}, \frac{2}{7}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
$\frac{20}{7}, \frac{5}{7}, \frac{15}{7}$

From $x = \frac{m_{1} x_{2} + m_{2} x_{1}}{m_{1} + m_{2}}, y = \frac{m_{1} y_{2} + m_{2} y_{1}}{m_{1} + m_{2}}, z = \frac{m_{1} z_{2} + m_{2} z_{1}}{m_{1} + m_{2}};$
$x = \frac{20}{7}, y = \frac{5}{7}, z = \frac{15}{7} .$

Suggest Corrections

Similar questions

The co-ordinates of the point which divides (internally) the line joining the points (– 2, – 2) and (– 5, 7) in the ratio 2 : 1 are

(1, 3, 4)

(4, 3, 1)

2 : 1,

Join BYJU'S Learning Program