Three Dimensional Geometry Question 81

Question: The point of intersection of the line joining the points (3, 4, 1) and (5, 1, 6) and the xy-plane is

Options:

A) $ (13,,23,,0) $

B) $ ( \frac{13}{5},\frac{23}{5},0 ) $

C) (?13, 23, 0)

D) $ ( -\frac{13}{5},\frac{23}{5},0 ) $

Show Answer

Answer:

Correct Answer: B

Solution:

For xy-plane, $ z=0\Rightarrow \frac{6\lambda +1}{\lambda +1}=0\Rightarrow \lambda =-\frac{1}{6} $
$ \therefore x=\frac{-,5+18}{5}=\frac{13}{5},,y=\frac{-1+24}{5}=\frac{23}{5} $ .