JEE Advanced 2020 Full Test 4 Paper 2

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This section contains TWO (02) List-Match Sets. Each List-Match set has TWO(02) Multiple Choice Questions. Each List-Match set has two lists: List-I and List-II. List-I has Four entries (I), (II), (III) and (IV) and List-II has Six entries (P),(Q),(R),(S),(T) and (U). FOUR options are given in each Multiple Choice Question based On List-I and List-II and ONLY ONE of these four options satisfies the condition asked in the Multiple Choice Question.
Answer the following by appropriately matching the list based on the information given in the paragraph.

A plane π passes through the point (1,1,1) and is parallel to the vectors overrightarrowb=(1,0,1) and
a
=(1,1,0)π
meets the axes in A,B and C forming the tetrahedron OABC.
   List - I    List - II
 (I)  Volume of the tetrahedron OABC in cubic units.  (P)  
9
2
 (II)  Area of a face of the tetrahedron in square units.  (Q)  
93
2
 (III)  Distance of the points, (
33
2
,33
,3
)
from the plane π in units.
 (R)  3
 (IV)  Distance of a face of the tetrahedron from the vertex  (S)  3
     (T)  4
     (U)  
1
2
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