A plane P is parallel to two lines whose direction ratios are -2, 1, -3, and -1, 2, -2 and it contains the point (2, 2, -2). Let P intersect the co-ordinate axes at the points A, B, C making the intercepts 
. If V is the volume of the tetrahedron OABC, where O is the origin and p = 
, then the ordered pair (V, p) is equal to
Text Solution
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Normal of plane P :
Equation of plane P which passes through (2, 2-2) is 4x-y-3z-12 = 0
Now, A (3, 0, 0), B (0, - 12, 0), C (0, 0, -4)
Now, volume of tetrahedron OABC
(V,p)=(24, -13)
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