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} ) $

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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 ) $ .