Three Dimensional Geometry Question 51

Question: The point dividing the line joining the points $ (1,2,3) $ and $ (3,-5,6,) $ in the ratio $ 3:,-5 $ is

Options:

A) $ ( 2,,\frac{-25}{2},,\frac{3}{2} ) $

B) $ ( -2,,\frac{25}{2},,\frac{-3}{2} ) $

C) $ ( 2,\frac{25}{2},,\frac{3}{2} ) $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ x=\frac{-5+9}{-2}=-2,y=\frac{-5,(2)+3,(-5)}{-2}=\frac{25}{2} $ $ z=\frac{-5,(3)+3,(6)}{-2}=-\frac{3}{2} $ .