If the plane 2x + y - 5z = 0 is rotated about its line of intersection with the plane 3x - y + 4z - 7 = 0 by an angle of (π)/2, then the plane after the rotation passes through the point:

Three Dimensional Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 26 Jun, Evening shift · Q2592

JEE Main 202226 Jun, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

If the plane

2x + y - 5z = 0

is rotated about its line of intersection with the plane

3x - y + 4z - 7 = 0

by an angle of

{\pi \over 2}

, then the plane after the rotation passes through the point :