Three Dimensional Geometry Question 300

Question: The ratio in which the plane $ x-2y+3z=17 $ divides the line joining the points (?2, 4, 7) and $ (3,-5,,8) $ is

[AISSE 1988]

Options:

A) 10 : 3

B) 3 : 1

C) 3 : 10

D) 10 : 1

Show Answer

Answer:

Correct Answer: C

Solution:

Ratio $ =-[ \frac{-2-8+21-17}{3+10+24-17} ]=-( \frac{-6}{20} )=\frac{3}{10} $ .