TS EAMCET · Maths · Three Dimensional Geometry
In matrix notation, if the system of equations \(\left[\begin{array}{c}1 \ -1 \ 2\end{array}\right]\left[\begin{array}{ll}1-1 & 2\end{array}\right]\left[\begin{array}{l}x \ y \ z\end{array}\right]=\left[\begin{array}{c}5 \ -5 \ 10\end{array}\right]\) has infinite number of solution, then all these solutions lie on
- A a line on XY-plane
- B a plane not parallel to any of the coordinate planes.
- C the YZ-plane.
- D the ZX-plane.
Answer & Solution
Correct Answer
(B) a plane not parallel to any of the coordinate planes.
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { Given, }\left[\begin{array}{c} 1 \\ -1 \\ 2 \end{array}\right]\left[\begin{array}{ll} 1-1 & 2 \end{array}\right]\left[\begin{array}{l} x \\ y \\ z \end{array}\right]=\left[\begin{array}{c} 5 \\ -5 \\ 10 \end{array}\right] \\ & \Rightarrow…
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