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NDA 2016
Exam
NDA
Year
2016
Subject
Mathematics
Chapter
Three Dimensional Geometry

NDA 2016 · Mathematics · Three Dimensional Geometry

Paragraph: Let Q be the image of the point P(-2,1,-5) in the plane...

Paragraph: Let Q be the image of the point P(−2,1,−5)\mathrm{P}(-2,1,-5) in the plane 3x−2y+2z+1=03 x-2 y+2 z+1=0.
Question: Consider the following: 1. The direction ratios of the line segment PQ are <3,−2,2>< 3,-2,2 >. 2. The sum of the squares of direction cosines of the line segment PQ is unity. Which of the above statements is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth1 and 2
  4. DNeither 1 nor 2

Correct answer

C. Both1 and 2

Step-by-step solution

From (i) above, 1 is correct. We know that, Sum of direction cosines of the line segment PQ=1\mathrm{PQ}=1.
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