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Q.

Match appropriately the information given in three columns of following table.
Let OABC be a tetrahedron such that foot of perpendicular from O to the side AB meets at its midpoint M. If  |OA|=p=|CM|,|AB|=q,CA.AM=0.
Column–1: Contains values of p and q.
Column–2: Contains maximum volume of tetrahedron OABC when base is  ΔABC.
Column–3: Contains height of tetrahedron, when volume of tetrahedron is same as in previous case and base is  ΔOAB.

Column–I

Column–II

Column–III

I)

p=2;  q=3

A)

924

P)

7

II)

p=3;  q=32

B)

563

Q)

22

III)

p=4;  q=42

C)

78

R)

27

IV)

p=42;  q=4

D)

1623

S)

322

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