A plane \( P \) is parallel to two lines whose direction ratios are \( -2,1,-3 \) and \( -1,2,-2... VIDEO
A plane \( P \) is parallel to two lines whose direction ratios are \( -2,1,-3 \) and \( -1,2,-2 \) and it contanis the point \( (2,2,-2) \). Let \( P \) intersect the coordinate axis at the points \( A, B \) and \( C \) making the intercepts \( \alpha, \beta \) and \( \gamma \). If \( V \) is the volume of the tetrahedron \( \mathrm{O} A B C \), where \( \mathrm{O} \) is the origin and \( p=\alpha+\beta+\gamma \) then the ordered pair \( (V, p) \) is equal to
(a) \( (48,-13) \)
(b) \( (24,-13) \)
(c) \( (48,11) \)
(d) \( (24,-5) \)
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