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 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:

Three Dimensional Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jul, Evening shift · Q2599

JEE Main 202228 Jul, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

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

\mathrm{A}, \mathrm{B}, \mathrm{C}

making the intercepts

\alpha, \beta, \gamma

. If

\mathrm{V}

is the volume of the tetrahedron

\mathrm{OABC}

, where

\mathrm{O}

is the origin, and

\mathrm{p}=\alpha+\beta+\gamma

, then the ordered pair

(\mathrm{V}, \mathrm{p})

is equal to :

JEE Main 2022 Three Dimensional Geometry Question with Solution (28 Jul Evening shift, Q2599) | JEE Arc