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NDA 2018 Maths · Mathematics · Three Dimensional Geometry · easy

The perpendicular distance of the point (3,4,12) from the x-axis is

Single correct option

The perpendicular distance of the point (3,4,12)(3,4,12) from the xx-axis is
  1. A. 1313
  2. B. 1212
  3. C. 153\sqrt{153}
  4. D. 4104\sqrt{10}
Show answer and solution

Answer: (D) 4104\sqrt{10}

The foot of the perpendicular on the xx-axis is (3,0,0)(3,0,0), so the distance is 42+122=160=410\sqrt{4^2+12^2}=\sqrt{160}=4\sqrt{10}. The value 13 is the distance from the origin, which includes the xx-coordinate.
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Original question written in the NDA 2018 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake