3D Geometry
Image of Point in Plane — Sum of Squares
nta_pyq_2023_apr
Grade 12
Question:
Image of $P(1,2,6)$ in plane through $A(1,2,0)$, $B(1,4,1)$, $C(0,5,1)$ is $Q(\alpha,\beta,\gamma)$. Then $\alpha^2+\beta^2+\gamma^2$ is equal to
Step-by-Step Solution
Key Concept: Find plane through 3 points. Reflect $P$ to get $Q$.
$65$.
Correct Answer: 1