Three Dimensional Geometry Question 110
Question: The plane $ XOZ $ divides the join of $ (1,,-1,5) $ and (2, 3, 4) in the ratio $ \lambda :1 $ , then $ \lambda $ is
[JET 1988]
Options:
A) ? 3
B) 3
C) $ -\frac{1}{3} $
D) $ \frac{1}{3} $
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Answer:
Correct Answer: D
Solution:
Since ZOX plane i.e. $ y=0 $ divides the join of (1,?1, 5) and (2, 3, 4) in the ratio $ \lambda :1 $ .
$ \therefore ,\frac{3\lambda -1}{\lambda +1}=0\Rightarrow \lambda =\frac{1}{3} $ .
BETA
