IITJEE Advance • Mathematics New Syllabus
Module 15: 3D Geometry Hub
Master the mathematics of three-dimensional space. Explore direction cosines, lines, planes, shortest distances, intersections, and complex geometrical applications.
Topic 1.1 • Directionality
Direction Cosines, Direction Ratios, Projections, and Angle Between Vectors
Topic 1.2 • Straight Lines I
Vector & Cartesian Equations of a Line, Collinearity, and Symmetrical Forms
Topic 2.1 • Straight Lines II
Skew Lines, Intersecting Lines, Coplanarity, and Shortest Distance Formulas
Topic 2.2 • Plane Fundamentals
Equations of a Plane (Normal, Intercept, and Passing Through Given Points)
Topic 3.1 • Lines & Planes
Intersection of a Line and a Plane, Angle Between them, and Coplanarity Conditions
Topic 3.2 • Intersecting Planes
Angle Between Two Planes, Parallel/Perpendicular Planes, and Family of Planes
Topic 4.1 • Distances & Reflections
Perpendicular Distance, Foot of Perpendicular, and Image of a Point in 3D
Topic 4.2 • Advanced Applications