Search any question & find its solution
Question:
Answered & Verified by Expert
If for a plane, the intercepts on the coordinate axes are 8, 4, 4 then the length of the perpendicular from the origin on to the plane is
Options:
Solution:
1654 Upvotes
Verified Answer
The correct answer is:
$8 / 3$
Equation of plane is, $\frac{x}{8}+\frac{y}{4}+\frac{z}{4}=1 \Rightarrow x+2 y+2 z=8$
Length of the perpendicular from the origin on the plane
$=\left|\frac{-8}{\sqrt{1^2+2^2+2^2}}\right|=\frac{8}{3}$
Length of the perpendicular from the origin on the plane
$=\left|\frac{-8}{\sqrt{1^2+2^2+2^2}}\right|=\frac{8}{3}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.