jee-main 2022 Q79

jee-main · India · session1_26jun_shift2 Vectors 3D & Lines Plane Rotation About a Line

If the plane $2 x + y - 5 z = 0$ is rotated about its line of intersection with the plane $3 x - y + 4 z - 7 = 0$ by an angle of $\frac { \pi } { 2 }$, then the plane after the rotation passes through the point
(1) $( 2 , - 2,0 )$
(2) $( - 2,2,0 )$
(3) $( 1,0,2 )$
(4) $( - 1,0 , - 2 )$

If the plane $2 x + y - 5 z = 0$ is rotated about its line of intersection with the plane $3 x - y + 4 z - 7 = 0$ by an angle of $\frac { \pi } { 2 }$, then the plane after the rotation passes through the point\\
(1) $( 2 , - 2,0 )$\\
(2) $( - 2,2,0 )$\\
(3) $( 1,0,2 )$\\
(4) $( - 1,0 , - 2 )$

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