3D Geometry
Match the Following
MMTS_Full_Test_22
Grade 12
Question:
Match List-I with List-II: (A) Line $\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-2k}{2}$ lies in plane $2x-4y+z=3$; (B) Lines $\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}$ and $\frac{x-3}{1}=\frac{y-k}{2}=\frac{z}{1}$ intersect, value of $k$; (C) Plane through $(1,1,1)$ with OA=OB=OC, volume of tetrahedron OABC; (D) Distance from $(-1,5/\sqrt{2},3/\sqrt{2})$ to plane $P$ through $(1,-2,1)$ perpendicular to $2x-2y+z=0$ and $x-y+2z=4$
(A)-II,(B)-I,(C)-I,(D)-III
(A)-I,(B)-III,(C)-IV,(D)-II
(A)-II,(B)-II,(C)-I,(D)-III
(A)-II,(B)-I,(C)-III,(D)-III
Step-by-Step Solution
Key Concept: Solve each sub-part individually
(A) $k=3/2$(II); (B) $k=3/2$... wait. After careful computation: (A)-II,(B)-I,(C)-III,(D)-III... matching option 4.
Correct Answer: 1