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

NDA 2019 · Mathematics · Three Dimensional Geometry

If the points (x, y,-3),(2,0,-1) and (4,2,3) lie on a straight...

If the points (x,y,−3),(2,0,−1)(x, y,-3),(2,0,-1) and (4,2,3)(4,2,3) lie on a straight line, then what are the values of xx and yy respectively?

Options

  1. A1,−11,-1
  2. B−1,1-1,1
  3. C0,2
  4. D3,4

Correct answer

A. 1,−11,-1

Step-by-step solution

Given points are (x,y,−3);(2,0,−1);(4,2,3)(x, y,-3) ;(2,0,-1) ;(4,2,3) since they lie on same line ∴\therefore their DR's must be same DR's =(2−x,−y,2)(2,2,4)=(2-x,-y, 2)(2,2,4)∴2−x2=−y2=24⇒x=1;y=−1\begin{aligned} & \therefore \quad \frac{2-x}{2}=\frac{-y}{2}=\frac{2}{4} \\ & \Rightarrow x=1 ; y=-1 \end{aligned}$$
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