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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.

10 sections · ~975 min read · Free, no login needed
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Topics in this chapter

  1. 1

    Direction Cosines and Direction Ratios of a Line

    60 min read · Quiz included

  2. 2

    Equation of a Line in Space

    75 min read · Quiz included

  3. 3

    Angle Between Two Lines & Shortest Distance

    90 min read · Quiz included

  4. 4

    Equation of a Plane

    90 min read · Quiz included

  5. 5

    Coplanarity and Geometric Relationships

    90 min read · Quiz included

  6. 6

    Distance of a Point from a Plane

    75 min read · Quiz included

  7. 7

    Solved Examples

    150 min read

  8. 8

    Questions and Answers (Board Exam)

    180 min read

  9. 9

    PYQ (JEE Main & Advanced)

    150 min read · Quiz included

  10. 10

    Summary

    15 min read