Home Maths Vector Algebra NTA Abhiyas Question - Vector 3D The plane 2x - 2y + z = 3 is rotated about i…
Maths Vector Algebra NTA Abhiyas Question - Vector 3D Single Correct MCQ
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

A
B
C
D

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Text Solution

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The 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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