Three Dimensional Geometry Question 286

Question: The distance of the plane $ 6x-3y+2z-14=0 $ from the origin is

[MP PET 2003]

Options:

A) 2

B) 1

C) 14

D) 8

Show Answer

Answer:

Correct Answer: A

Solution:

Distance of plane from origin = $ \frac{d}{\sqrt{a^{2}+b^{2}+c^{2}}} $ $ =\frac{14}{\sqrt{6^{2}+3^{2}+2^{2}}}=\frac{14}{\sqrt{49}}=\frac{14}{7}=2 $ .