The equation of the plane passing through the line of intersection of the planes r.(i + j + k) = 1 and r.(2 i + 3 j - k) + 4 = 0 and parallel to the x-axis is:

Three Dimensional Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Aug, Evening shift · Q2437

JEE Main 202127 Aug, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

The equation of the plane passing through the line of intersection of the planes

\overrightarrow r .\left( {\widehat i + \widehat j + \widehat k} \right) = 1

and

\overrightarrow r .\left( {2\widehat i + 3\widehat j - \widehat k} \right) + 4 = 0

and parallel to the x-axis is :

JEE Main 2021 · 27 Aug, Evening shift · Q2437

JEE Main 202127 Aug, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

The equation of the plane passing through the line of intersection of the planes

\overrightarrow r .\left( {\widehat i + \widehat j + \widehat k} \right) = 1

and

\overrightarrow r .\left( {2\widehat i + 3\widehat j - \widehat k} \right) + 4 = 0

and parallel to the x-axis is :