Three Dimensional Geometry Question 87
Question: If the points $ A(9,8,,-10) $ , $ B(3,2,-4) $ and $ C(5,4,,-6) $ be collinear, then the point C divides the line $ AB $ in the ratio
Options:
A) 2 : 1
B) 3 : 1
C) 1 : 2
D) ?1 : 2
Show Answer
Answer:
Correct Answer: A
Solution:
Let point C divides the line AB in the ratio $ 1:\lambda $ .
$ \therefore 5=\frac{9\lambda +3}{\lambda +1}\Rightarrow 4\lambda =2\Rightarrow \lambda =\frac{1}{2} $ Hence required ratio is 2 : 1.
BETA
