Let P be the plane passing through the point (1, 2, 3) and the line of intersection of the planes r. (i + j + 4 k) = 16 and r. (- i + j + k) = 6. Then which of the following points does NOT lie on P?

Three Dimensional Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 26 Aug, Evening shift · Q2587

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

Let P be the plane passing through the point (1, 2, 3) and the line of intersection of the planes

\overrightarrow r \,.\,\left( {\widehat i + \widehat j + 4\widehat k} \right) = 16

and

\overrightarrow r \,.\,\left( { - \widehat i + \widehat j + \widehat k} \right) = 6

. Then which of the following points does NOT lie on P?

JEE Main 2021 · 26 Aug, Evening shift · Q2587

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

Let P be the plane passing through the point (1, 2, 3) and the line of intersection of the planes

\overrightarrow r \,.\,\left( {\widehat i + \widehat j + 4\widehat k} \right) = 16

and

\overrightarrow r \,.\,\left( { - \widehat i + \widehat j + \widehat k} \right) = 6

. Then which of the following points does NOT lie on P?