Introduction to Three Dimensional Geometry
Karnataka Board · Class 11 · Mathematics
Quick revision notes for Introduction to Three Dimensional Geometry — Karnataka Board Class 11 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Coordinate System in 3D Space
- Three mutually perpendicular lines (X'OX, Y'OY, Z'OZ) form the coordinate axes
- The three coordinate planes are XY-plane, YZ-plane, and ZX-plane
- Origin O is the point of intersection of all three axes with coordinates (0,0,0)
Octants in 3D Space
- Three coordinate planes divide space into 8 regions called octants
- Octants are numbered I to VIII based on signs of coordinates
- First octant (I): all coordinates positive (+,+,+)
Coordinates of a Point in Space
- Every point P in space has unique coordinates (x, y, z)
- x = perpendicular distance from YZ-plane
- y = perpendicular distance from ZX-plane
Special Points and Their Coordinates
- Origin O: (0,0,0)
- Point on x-axis: (x,0,0)
- Point on y-axis: (0,y,0)
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Sources & Official References
- Karnataka SSLC — kseeb.kar.nic.in
- Dept of Pre-University Education, Karnataka
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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