Search any question & find its solution
Question:
Answered & Verified by Expert
If a plane cuts off intercepts $-6,3,4$ from the co-ordinate axes, then the length of the perpendicular from the origin to the plane is
Options:
Solution:
2938 Upvotes
Verified Answer
The correct answer is:
$\frac{12}{\sqrt{29}}$
Equation is $\frac{x}{-6}+\frac{y}{3}+\frac{z}{4}=1$ or $-2 x+4 y+3 z=12$
$\therefore$ Length of perpendicular from origin
$=\frac{12}{\sqrt{4+16+9}}=\frac{12}{\sqrt{29}} .$
$\therefore$ Length of perpendicular from origin
$=\frac{12}{\sqrt{4+16+9}}=\frac{12}{\sqrt{29}} .$
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.