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Question: Answered & Verified by Expert
The length of the normal from origin to the plane $\mathrm{x}+2 \mathrm{y}-2 \mathrm{z}=9$ is equal to
MathematicsThree Dimensional GeometryNDANDA 2017 (Phase 2)
Options:
  • A 2 units
  • B 3 units
  • C 4 units
  • D 5 units
Solution:
1980 Upvotes Verified Answer
The correct answer is: 3 units
Given plane, $x+2 y-2 z=9$. $\frac{d}{\sqrt{a^{2}+b^{2}+c^{2}}}$
length of the normal $=\frac{9}{\sqrt{(1)^{2}+(2)^{2}+(-2)^{2}}}$
$=\frac{9}{\sqrt{9}}=\frac{9}{3}=3$ units

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