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

NDA 2016 · Mathematics · Three Dimensional Geometry

Paragraph: A line L passes through the point P(5,-6,7) and is...

Paragraph: A line L passes through the point P(5,−6,7)\mathrm{P}(5,-6,7) and is parallel to the planes x+y+z=1\mathrm{x}+\mathrm{y}+\mathrm{z}=1 and 2x−y−2z=32 \mathrm{x}-\mathrm{y}-2 \mathrm{z}=3.
Question: What is the equation of the line L ?

Options

  1. Ax−5−1=y+64=z−7−3\frac{x-5}{-1}=\frac{y+6}{4}=\frac{z-7}{-3}
  2. Bx+5−1=y−64=z+7−3\frac{x+5}{-1}=\frac{y-6}{4}=\frac{z+7}{-3}
  3. Cx−5−1=y+6−4=z−73\frac{x-5}{-1}=\frac{y+6}{-4}=\frac{z-7}{3}
  4. Dx−5−1=y+6−4=z−7−3\frac{x-5}{-1}=\frac{y+6}{-4}=\frac{z-7}{-3}

Correct answer

A. x−5−1=y+64=z−7−3\frac{x-5}{-1}=\frac{y+6}{4}=\frac{z-7}{-3}

Step-by-step solution

The correct answer is option (A)
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