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Introduction to Three Dimensional Geometry

Uttar Pradesh Board · Class 11 · Mathematics

Quick revision notes for Introduction to Three Dimensional Geometry — Uttar Pradesh Board Class 11 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

106 questions20 flashcards5 concepts

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Key Topics to Revise

1

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)
2

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 (+,+,+)
3

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
4

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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Full Notes

Key Concepts

A system consisting of three mutuallyThree planes formed by pairsAny point P in spaceThe eight regions created when threeThe distance between two points P(x₁

Frequently Asked Questions

What are the important topics in Introduction to Three Dimensional Geometry for Uttar Pradesh Board Class 11 Mathematics?
Introduction to Three Dimensional Geometry covers several key topics that are frequently asked in Uttar Pradesh Board Class 11 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Introduction to Three Dimensional Geometry — Uttar Pradesh Board Class 11 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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