Three Dimensional Geometry Question 274

Question: The equation of the perpendicular from the point $ (\alpha ,\beta ,\gamma ) $ to the plane $ ax+by+cz+d=0 $ is

[MP PET 2003]

Options:

A) $ a(x-\alpha )+b(y-\beta )+c(z-\gamma )=0 $

B) $ \frac{x-\alpha }{a}=\frac{y-\beta }{b}=\frac{z-\gamma }{c} $

C) $ a(x-\alpha )+b(y-\beta )+c(z-\gamma )=abc $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

It is a line passing through $ (\alpha ,\beta ,\gamma ) $ and whose direction cosines are $ a,b,c. $