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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Three Dimensional Geometry

NDA 2019 · Mathematics · Three Dimensional Geometry

If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies on the plane 2 x-4...

If the line x−41=y−21=z−k2\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-k}{2} lies on the plane 2x−4y+z=72 x-4 y+z=7, then what is the value of kk ?

Options

  1. A2
  2. B3
  3. C5
  4. D7

Correct answer

D. 7

Step-by-step solution

Line x−41=y−21=z−k2\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-k}{2} passes through (4,2,k)(4,2, k) are lies in plane 2x−4y+z=72 x-4 y+z=7 so it must satisfy 2(4)−4(2)+k=7⇒k=7\begin{aligned} & 2(4)-4(2)+k=7 \\ & \Rightarrow \quad k=7 \end{aligned}
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