Three-Dimensional-Geometry Question 416
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
[MP PET 1997]
Options:
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} $
Show Answer
Answer:
Correct Answer: D
Solution:
From $ x=\frac{m_1x_2+m_2x_1}{m_1+m_2},y=\frac{m_1y_2+m_2y_1}{m_1+m_2} $ , $ z=\frac{m_1z_2+m_2z_1}{m_1+m_2} $ ; $ x=\frac{20}{7},y=\frac{5}{7},z=\frac{15}{7}. $
BETA
