A) \[2:3\]
B) \[2:1\]
C) \[4:5\]
D) None of these
Correct Answer: B
Solution :
Let the point P divides the line joining the points\[(-3,4,-8)\]and\[(5,-6,4)\]in the ratio\[\lambda :1\]. \[\therefore \]Coordinates of \[P=\left( \frac{5\lambda -3}{\lambda +1},\frac{-6\lambda +4}{\lambda +1},\frac{4\lambda -8}{\lambda +1} \right)\] Since, point P lies in\[xy-\]plane. So, its z-coordinate will be zero. ie, \[\frac{4\lambda -8}{\lambda +1}=0\] \[\Rightarrow \] \[\lambda =2\] Hence, required ratio is\[2:1\].
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