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NDA 2017
Exam
NDA
Year
2017
Subject
Mathematics
Chapter
Three Dimensional Geometry

NDA 2017 · Mathematics · Three Dimensional Geometry

The length of the normal from origin to the plane x+2 y-2 z=9 is...

The length of the normal from origin to the plane x+2y−2z=9x+2 y-2 z=9 is equal to

Options

  1. A2 units
  2. B3 units
  3. C4 units
  4. D5 units

Correct answer

B. 3 units

Step-by-step solution

Given plane, x+2y−2z=9x+2 y-2 z=9. Length of normal from origin to plane ax+by+cz=d\mathrm{ax}+\mathrm{by}+\mathrm{cz}=\mathrm{d} is da2+b2+c2=99=93=3\frac{d}{\sqrt{a^2+b^2+c^2}}=\frac{9}{\sqrt{9}}=\frac{9}{3}=3 units
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