Three Dimensional Geometry Question 343
Question: The xy-plane divides the line joining the points (-1, 3, 4) (2, -5, 6)
Options:
A) Internally in the ratio 2:3
B) Externally in the ratio 2:3
C) Internally in the ratio 3:2
D) Externally in the ratio 3:2
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Answer:
Correct Answer: D
Solution:
[d] Suppose xy-plane divides the line joining the given points in the ration $ \lambda :1 $ . The coordinate of the point of division are $ ( \frac{2\lambda -1}{\lambda +1},\frac{-5\lambda +3}{\lambda +1},\frac{6\lambda +4}{\lambda +1} ) $ . This point lies on xy-plane. $ \frac{6\lambda +4}{\lambda +1}=0\Rightarrow \lambda =-\frac{3}{2} $ Hence, xy-plane divides externally in the ratio 3 : 2.
BETA
