IITJEE Advance • Mathematics New Syllabus
Module 11: Straight Lines & Angles Hub
Master the advanced geometry of linear equations in 2D. Explore parametric forms, family of lines, axes transformations, homogenization, and complex triangle geometry.
Topic 1.1 • Coordinate Basics
Cartesian System, Locus, Section Formula, and Area of Polygons
Topic 1.2 • Line Mechanics
Slope, Intercepts, Standard Forms, and Parametric (Distance) Equations
Topic 2.1 • Angles & Distances
Angle Between Lines, Distance to a Point, and Parallel Line Gap
Topic 2.2 • Intersections
Concurrency Conditions and L₁ + λL₂ = 0 Family of Lines Applications
Topic 3.1 • Axes Transformations
Translation of Origin, Rotation of Coordinate Axes, and Locus Shifting
Topic 3.2 • Bisectors & Regions
Equations of Angle Bisectors and Identifying Origin-Containing Regions
Topic 4.1 • Homogeneous Systems
General 2nd Degree Equations, Pair of Lines, and Homogenization Techniques
Topic 4.2 • Triangle Centers