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