In Class 12 Maths Three Dimensional Geometry the reflection of a point across a plane is found by using the perpendicular distance formula. The image of a point is equidistant from the plane but on the opposite side. This concept helps in understanding symmetry transformations in three-dimensional space.
Class 12 Maths Chapter 11 Three Dimensional Geometry is an essential topic for CBSE Exam 2024-25. It includes direction cosines and direction ratios of a line equations of a line in different forms shortest distance between two lines equations of a plane angles between planes and distance of a point from a plane.
It covers direction cosines and direction ratios of a line equations of a line in different forms shortest distance between two lines equations of a plane angles between planes and distance of a point from a plane.
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The reflection of a point (α, β, γ) in the xy-plane involves changing the sign of the z-coordinate while keeping the x and y coordinates unchanged.
Therefore, the reflection of the point (α, β, γ) in the xy-plane is: (α, β, -γ)
Thus, the correct answer is: (α, β, -γ)
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