Let P₁: r. (2 i + j - 3 k) = 4 be a plane. Let P₂ be another plane which passes through the points (2, - 3, 2), (2, - 2, - 3) and (1, - 4, 2). If the direction ratios of the line of intersection of P₁ and P₂ be 16, α, β, then the value of α + β is equal to _ _ _ _ _ _ _ _.

Three Dimensional Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jun, Morning shift · Q25

JEE Main 202229 Jun, Morning shiftMathematicsHardThree Dimensional Geometry249× since 2002

Let

{P_1}:\overrightarrow r \,.\,\left( {2\widehat i + \widehat j - 3\widehat k} \right) = 4

be a plane. Let P₂ be another plane which passes through the points (2,

-

3, 2), (2,

-

-

3) and (1,

-

4, 2). If the direction ratios of the line of intersection of P₁ and P₂ be 16,

\alpha

\beta

, then the value of

\alpha

\beta

is equal to ________________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Three Dimensional Geometry Question with Answer (29 Jun Morning shift, Q25) | JEE Arc