3D Geometry
Coplanar Lines — Identifying the Right Line
nta_pyq_2023_apr
Grade 12

Question:

The line coplanar with $\frac{x+3}{-3}=\frac{y-1}{1}=\frac{z-5}{5}$ is
$\frac{x+1}{-1}=\frac{y-2}{2}=\frac{z-5}{4}$
$\frac{x+1}{-1}=\frac{y-2}{2}=\frac{z-5}{5}$
$\frac{x-1}{-1}=\frac{y-2}{2}=\frac{z-5}{5}$
$\frac{x+1}{1}=\frac{y-2}{2}=\frac{z-5}{5}$

Step-by-Step Solution

Key Concept: Two lines coplanar if $[\overrightarrow{A_1A_2},\vec{d}_1,\vec{d}_2]=0$. Test each option.
Option (2).
Correct Answer: 2

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