The plane is rotated through an angle about its line of intersection with the plane

MATHEMATICS · Single correct · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

The plane x−y−z=4x - y - z = 4 is rotated through an angle 90∘90^\circ about its line of intersection with the plane x+y+2z=4x + y + 2z = 4. Then the equation of the plane in its new position is (1) x+y+4z=20x + y + 4z = 20 (2) x+5y+4z=20x + 5y + 4z = 20 (3) x+y−4z=20x + y - 4z = 20 (4) 5x+y+4z=205x + y + 4z = 20

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