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 axe at the points {\A}, {\B}, {\C} making the intercepts \alpha, \beta, \gamma. If {\V} is the volume of the tetrahedron {\OABC}, where {\O} is the origin, and {\p}=\alpha+\beta+\gamma, then the ordered pair ( {\V}, {\p}) is equal to: [28-Jul-2022-Shift-2]

JEE Mains 28-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 16 of 90

Marks: +1, -0

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 axe at the points A,B,C making the intercepts α,β,γ. If V is the volume of the tetrahedron OABC, where O is the origin, and p=α+β+γ, then the ordered pair (V,p) is equal to:

[28-Jul-2022-Shift-2]

(48,−13)
(24,−13)
(48,11)
(24,−5)

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