Let L be a line obtained from the intersection of two planes x + 2y + z = 6 and y + 2z = 4. If point P(α, β, γ) is the foot of perpendicular from (3, 2, 1) on L, then the value of 21(α + β + γ) equals:

Three Dimensional Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 26 Feb, Evening shift · Q2427

JEE Main 202126 Feb, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

Let L be a line obtained from the intersection of two planes x + 2y + z = 6 and y + 2z = 4. If point P(

\alpha

\beta

\gamma

) is the foot of perpendicular from (3, 2, 1) on L, then the value of 21(

\alpha

\beta

\gamma

) equals :

JEE Main 2021 · 26 Feb, Evening shift · Q2427

JEE Main 202126 Feb, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

Let L be a line obtained from the intersection of two planes x + 2y + z = 6 and y + 2z = 4. If point P(

\alpha

\beta

\gamma

) is the foot of perpendicular from (3, 2, 1) on L, then the value of 21(

\alpha

\beta

\gamma

) equals :