IITJEE Mains • Mathematics New Syllabus
Module 10: Straight Lines Hub
Master the geometry of linear equations in 2D. Explore Cartesian coordinates, slopes, various forms of straight lines, family of lines, and equations of pairs of straight lines.
Topic 1.1 • Coordinate Geometry
Cartesian System, Distance & Section Formulas, Centroid, and Area of a Triangle
Topic 1.2 • Line Mechanics
Slope of a Line, Collinearity of Points, and Angle Between Two Intersecting Lines
Topic 2.1 • Linear Equations
Various Forms of a Line: Point-Slope, Slope-Intercept, Normal, and Parametric Forms
Topic 2.2 • Distances & Reflections
Distance of a Point from a Line, Distance Between Parallel Lines, and Image of a Point
Topic 3.1 • Axes Transformation
Translation of Axes, Shifting of Origin, and Transformation of Equations
Topic 3.2 • Intersections
Concurrency of Three Lines and the Equation of Family of Lines (L₁ + λL₂ = 0)
Topic 4.1 • Homogeneous Equations
Second Degree Homogeneous Equations, Angle Between Pair of Lines, and Bisectors
Topic 4.2 • General 2nd Degree Equations