3D Geometry
Distances from Plane with Integer Constraint
nta_pyq_2023_apr
Grade 12
Question:
Plane $P$ through $(5,3,0),(13,3,-2),(1,6,2)$. Distances of $A(3,4,\alpha)$ and $B(2,\alpha,a)$ from $P$ are 2 and 3. Positive value of $a$ is
Step-by-Step Solution
Key Concept: Find equation of plane $P$. Solve distance equations for $\alpha$ (integer) and $a$.
$a=4$.
Correct Answer: 4