GyanGhar GyanGhar

Class 12 · Math · Chapter 11

Three Dimensional Geometry

This chapter extends the concepts of vector algebra to three-dimensional space. It covers the direction cosines and ratios of lines, various forms of equations for lines and planes in space, and the geometric relationships between them, including angles, intersections, and shortest distances.

9 sections · ~515 min read · Free, no login needed
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Topics in this chapter

  1. 1

    Direction Cosines and Direction Ratios of a Line

    45 min read · Quiz included

  2. 2

    Equation of a Line in Space

    50 min read · Quiz included

  3. 3

    Angle between Two Lines

    45 min read · Quiz included

  4. 4

    Shortest Distance between Two Lines

    55 min read · Quiz included

  5. 5

    Solved Examples

    70 min read · Quiz included

  6. 6

    Board Exam-Pattern Questions

    60 min read · Quiz included

  7. 7

    JEE Corner — 3D Geometry for JEE Main and Advanced

    75 min read · Quiz included

  8. 8

    JEE Main Pattern Practice Questions

    80 min read · Quiz included

  9. 9

    Summary and Quick Revision

    35 min read · Quiz included