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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Three Dimensional Geometry

NDA 2022 · Mathematics · Three Dimensional Geometry

Consider the following statements : 1. The direction ratios of y...

Consider the following statements : 1. The direction ratios of yy-axis can be <0,4,0>2.Thedirectionratiosofalineperpendicularto< 0,4,0 > 2. The direction ratios of a line perpendicular toz−axiscanbe-axis can be\langle 5,6,0\rangleWhichofthestatementsgivenaboveis/arecorrect?Which of the statements given above is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

C. Both 1 and 2

Step-by-step solution

The direction cosines of yy-axis are ⟨0,1,0⟩∴\langle 0,1,0\rangle\therefore \quad The direction ratio of yy-axis are in the form <0,a,0⟩,∀a∈R< 0, a, 0\rangle, \forall a \in \mathbb{R} So, statement 1 is correct. We have direction ratio of a line perpendicular to ZZ-axis are in the form ⟨a,b,0⟩\langle a, b, 0\rangle So, statement 2 is correct.
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