Let L be the line of intersection of planes r.(i - j + 2 k) = 2 and r.(2 i + j - k) = 2. If P(α,β,γ) is the foot of perpendicular on L from the point (1, 2, 0), then the value of 35(α + β + γ) is equal to:

Three Dimensional Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 22 Jul, Evening shift · Q2431

JEE Main 202122 Jul, Evening shiftMathematicsHardThree Dimensional Geometry249× since 2002

Let L be the line of intersection of planes

\overrightarrow r .(\widehat i - \widehat j + 2\widehat k) = 2

and

\overrightarrow r .(2\widehat i + \widehat j - \widehat k) = 2

. If

P(\alpha ,\beta ,\gamma )

is the foot of perpendicular on L from the point (1, 2, 0), then the value of

35(\alpha + \beta + \gamma )

is equal to :