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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Three Dimensional Geometry

NDA 2013 · Mathematics · Three Dimensional Geometry

If the straight line (x-x_0)/( )=(y-y_0)/(m)=(z-z_0)/(n) is...

If the straight line x−x0ℓ=y−y0m=z−z0n\frac{x-x_0}{\ell}=\frac{y-y_0}{m}=\frac{z-z_0}{n} is parallel to the plane ax+by+cz+d=0a x+b y+c z+d=0 then which one of the following is correct?

Options

  1. Aℓ+m+n=0\ell+m+n=0
  2. Ba+b+c=0a+b+c=0
  3. Caℓ+bm+cn=0\frac{a}{\ell}+\frac{b}{m}+\frac{c}{n}=0
  4. Daℓ+bm+cn=0a \ell+b m+c n=0

Correct answer

D. aℓ+bm+cn=0a \ell+b m+c n=0

Step-by-step solution

If the line is parallel to the plane then aℓ+bm+cn=0a \ell+b m+c n=0
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