3D Geometry
Foot of Perpendicular on Plane — Distance from Origin
nta_pyq_2023_apr
Grade 12
Question:
Foot of $\perp$ of $P(3,-2,-9)$ on plane through $(-1,-2,-3),(9,3,4),(9,-2,1)$ is $Q(\alpha,\beta,\gamma)$. Distance of $Q$ from origin is
Step-by-Step Solution
Key Concept: Find plane through 3 points. Drop perpendicular from $P$.
$|OQ|=\sqrt{38}$.
Correct Answer: 2