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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Three Dimensional Geometry

NDA 2019 · Mathematics · Three Dimensional Geometry

A point on a line has coordinates (p+1, p-3, 2 p) where p is any...

A point on a line has coordinates (p+1,p−3,2p)(p+1, p-3, \sqrt{2} p) where pp is any real number. What are the direction cosines of the line?

Options

  1. A12,12,12\frac{1}{2}, \frac{1}{2}, \frac{1}{\sqrt{2}}
  2. B12,12,12\frac{1}{\sqrt{2}}, \frac{1}{2}, \frac{1}{2}
  3. C12,12,−12\frac{1}{\sqrt{2}}, \frac{1}{2},-\frac{1}{2}
  4. DCannot be determined due to insufficient date

Correct answer

D. Cannot be determined due to insufficient date

Step-by-step solution

given point is (P+1,P−3,2p)(P+1, P-3, \sqrt{2} p) to determine direction ratios of a line we require 2 points. ∴\therefore DR's can't be determined as infinite lines will pass through this point. Thus direction cosines can not be obtained.
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