Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The plane 2x - 2y + z = 3 is rotated about its line of intersection with the xy—plane by an acute angle
. If the new position of the plane contains the point (3,1,1), then the value of cos
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
C

Let the equation of the plane be
(2x - 2y + z - 3) +
z = 0
it contains the point (3,1,1)
6-2+ l-3 +
= 0
= -2
Hence, the equation of the plane is 2x-2y- z -3 = 0


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