Introduction To Three- Dimensional Geometry
Kerala Board · Class 12 · Mathematics
Quick revision notes for Introduction To Three- Dimensional Geometry — Kerala Board Class 12 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Three-Dimensional Coordinate System
- A point in 3D space is represented by three coordinates (x, y, z)
- The coordinate system consists of three mutually perpendicular axes: X, Y, and Z
- Three coordinate planes divide space into 8 octants
Distance Between Two Points in 3D Space
- Distance formula extends the 2D formula to include the third dimension
- Always gives a positive value (absolute distance)
- Can be used to prove geometric properties like equilateral triangles
Section Formula and Division of Line Segment
- A point can divide a line segment internally or externally
- Internal division: point lies between the two given points
- External division: point lies outside the line segment
Direction Cosines and Direction Ratios
- Direction cosines are cosines of angles a line makes with coordinate axes
- Sum of squares of direction cosines equals 1
- Direction ratios are proportional to direction cosines
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Introduction To Three- Dimensional Geometry covers several key topics that are frequently asked in Kerala Board Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- 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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