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NDA2019MathematicsThree Dimensional GeometryActual

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

Options

  1. A1 2 , 1 2 , 1 2
  2. B1 2 , 1 2 , 1 2
  3. C1 2 , 1 2 ,- 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, 2 p) to determine direction ratios of a line we require 2 points. 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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