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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.
A planeπ passes through the point (1,1,1) and is parallel to the vectors overrightarrow b = ( 1 , 0 , − 1 ) and
= ( − 1 , 1 , 0 ) π meets the axes in A , B and C forming the tetrahedron O A B C .
Answer the following by appropriately matching the list based on the information given in the paragraph.
A plane
List - I | List - II | ||||
---|---|---|---|---|---|
(I) | Volume of the tetrahedron OABC in cubic units. | (P) | | ||
(II) | Area of a face of the tetrahedron in square units. | (Q) | | ||
(III) | Distance of the points, | (R) | | ||
(IV) | Distance of a face of the tetrahedron from the vertex | (S) | 3 | ||
(T) | 4 | ||||
(U) | |
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