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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Three Dimensional Geometry

NDA 2013 · Mathematics · Three Dimensional Geometry

What is the distance of the line 2 x+y+2 z=3 from the origin?

What is the distance of the line 2x+y+2z=32 x+y+2 z=3 from the origin?

Options

  1. A1 unit
  2. B1.5 units
  3. C2 units
  4. D2.5 units

Correct answer

A. 1 unit

Step-by-step solution

Distance of line drawn from originorigin=∣2(0)+0+2(0)−3(2)2+(1)2+(2)2∣33=1\begin{aligned} & =\left|\frac{2(0)+0+2(0)-3}{\sqrt{(2)^2+(1)^2+(2)^2}}\right| \\ \frac{3}{3} & =1 \end{aligned}$$
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