JEE Main 2022 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2022

Let the plane 2x + 3y + z + 20 = 0 be rotated through a right angle about its line of intersection with the plane x − 3y + 5z = 8. If the mirror image of the point (2, −1/2, 2) in the rotated plane is B(a, b, c), then :

Answer: (1)

Solution

The rotated plane belongs to the family , i.e. . Being perpendicular to the original plane gives ,

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Question ID VK-025358