jee-main 2022 Q79

jee-main · India · session1_24jun_shift2 Vectors 3D & Lines Dihedral Angle Computation
Let the points on the plane $P$ be equidistant from the points $( - 4,2,1 )$ and $( 2 , - 2,3 )$. Then the acute angle between the plane $P$ and the plane $2 x + y + 3 z = 1$ is
(1) $\frac { \pi } { 6 }$
(2) $\frac { \pi } { 4 }$
(3) $\frac { \pi } { 3 }$
(4) $\frac { 5 \pi } { 12 }$
Let the points on the plane $P$ be equidistant from the points $( - 4,2,1 )$ and $( 2 , - 2,3 )$. Then the acute angle between the plane $P$ and the plane $2 x + y + 3 z = 1$ is\\
(1) $\frac { \pi } { 6 }$\\
(2) $\frac { \pi } { 4 }$\\
(3) $\frac { \pi } { 3 }$\\
(4) $\frac { 5 \pi } { 12 }$