Three Dimensional Geometry Question 96
Question: The co-ordinates of the point in which the line joining the points $ (3,,\ 5,\ -7) $ and $ (-2,,\ 1,,\ 8) $ is intersected by the plane yz are given by
[MP PET 1993]
Options:
A) $ ( 0,,\frac{13}{5},2 ) $
B) $ ( 0,,-\frac{13}{5},,-2 ) $
C) $ ( 0,-\frac{13}{5},\frac{2}{5} ) $
D) $ ( 0,\frac{13}{5},\frac{2}{5} ) $
Show Answer
Answer:
Correct Answer: A
Solution:
Ratio = $ -( \frac{3}{-2} )=\frac{3}{2} $
$ \therefore $ Required co-ordinates of the points are, $ [ \frac{6-6}{5},\frac{10+3}{5},\frac{-14+24}{5} ]=( 0,,\frac{13}{5},2 ) $ .