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NCERT · Class 11 · Mathematics · Introduction to Three Dimensional GeometryIn which octant does the point (-2, 4, -7) lie?

Step-by-Step Solution

For the point (-2, 4, -7), x < 0, y > 0, and z < 0. The signs of coordinates in the second octant are (-, +, -). Therefore, the point lies in the 6th octant (following standard numbering where 2nd is -, +, + and 6th is -, +, -). Specifically, X'OYZ' represents the octant.

Detailed Options Breakdown
Option : Second octant

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Introduction to Three Dimensional Geometry.

Option 1: Fourth octant

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Introduction to Three Dimensional Geometry.

Option 2: Sixth octant (Correct Answer)

Correct choice. Refer to the step-by-step verified solution guidelines above for details.

Option 3: Eighth octant

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.
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