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

NDA 2015 · Mathematics · Three Dimensional Geometry

A point P(1,2,3) is one vertex of a cuboid formed by the coordinate...

A point P(1,2,3)P(1,2,3) is one vertex of a cuboid formed by the coordinate planes and the planes passing through PP and parallel to the coordinate planes. What is the length of one of the diagonals of the cuboid?

Options

  1. A10\sqrt{10} units
  2. B14\sqrt{14} units
  3. C4 units
  4. D5 units

Correct answer

B. 14\sqrt{14} units

Step-by-step solution

Length of one of the diagonal of cubecube=(1)2+(2)2+(3)2=1+4+9=14 units \begin{aligned} & =\sqrt{(1)^2+(2)^2+(3)^2} \\ & =\sqrt{1+4+9}=\sqrt{14} \text{ units } \end{aligned}∴\therefore \quad Option (B) is correct.
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