NCERT · Class 11 · Mathematics · Introduction to Three Dimensional GeometryWhat is the equation of the xy-plane in three-dimensional space?
Step-by-Step Solution
In the xy-plane, every point has its z-coordinate equal to zero. Therefore, the equation of the xy-plane is $z = 0$.
Detailed Options Breakdown
Option : $x = 0$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Introduction to Three Dimensional Geometry.
Option 1: $y = 0$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Introduction to Three Dimensional Geometry.
Option 2: $z = 0$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: $x + y + z = 0$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Introduction to Three Dimensional Geometry.
💡 Study Guide: This question tests core syllabus concepts from Introduction to Three Dimensional Geometry. For formulas, key summaries, and mock exam reference guides, read the full Introduction to Three Dimensional Geometry Revision Notes.