Three Dimensional Geometry Question 174

Question: The line $ \frac{x-2}{3}=\frac{y-3}{4}=\frac{z-4}{5} $ is parallel to the plane

Options:

A) $ 2x+3y+4z=29 $

B) $ 3x+4y-5z=10 $

C) $ 3x+4y+5z=38 $

D) $ x+y+z=0 $

Show Answer

Answer:

Correct Answer: B

Solution:

Conversely, From option
$ \Rightarrow 3\times 2+4\times 3+5\times 4\ne 0 $ From option
$ \Rightarrow 3\times 3+4\times 4-5\times 5=0 $ .