Three Dimensional Geometry Question 177

Question: The equation of the plane through the origin containing the line $ \frac{x-1}{5}=\frac{y-2}{4}=\frac{z-3}{5} $ is

Options:

A) $ 2x+5y-6z=0 $

B) $ x+5y-5z=0 $

C) $ x-5y+3z=0 $

D) $ x+y-z=0 $

Show Answer

Answer:

Correct Answer: C

Solution:

Trick: A general point $ (5r+1,4r+2,5r+3) $ on the line should satisfy the required plane, which is satisfied by $ x-5y+3z=0. $



sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें