3D Geometry
Line Intersecting Another Line and Parallel to Plane
nta_pyq_2023_apr
Grade 12
Question:
Line $L$ through $(0,1,2)$ intersects $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and is parallel to $2x+y-3z=4$. Distance of $P(1,-9,2)$ from $L$ is
Step-by-Step Solution
Key Concept: Parametrize point on given line, form direction of $L$, apply parallel-to-plane condition.
Distance $=\sqrt{74}$.
Correct Answer: 1