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NDA 2015
Exam
NDA
Year
2015
Subject
Mathematics
Chapter
Three Dimensional Geometry

NDA 2015 · Mathematics · Three Dimensional Geometry

The projections of a directed line segment on the coordinate axes...

The projections of a directed line segment on the coordinate axes are 12, 4, 3 respectively. What is the length of the line segment?

Options

  1. A19 units
  2. B17 units
  3. C15 units
  4. D13 units

Correct answer

D. 13 units

Step-by-step solution

The projection of a directed line segment on the co-ordinate axes are 12, 4, 3, respectively. ∴\therefore \quad Length of the line segment =122+42+32=144+16+9=169=13=\sqrt{12^2+4^2+3^2}=\sqrt{144+16+9}=\sqrt{169}=13 unit ∴\therefore \quad Option (4) is correct.
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