IITJEE Advance • Mathematics New Syllabus
Module 13: Conic Sections Hub
Master the advanced geometry of parabolas, ellipses, and hyperbolas. Explore standard forms, tangents, normals, chord of contact, director circles, and asymptotes.
Topic 1.1 • Parabola I
Standard Equations, Focus, Directrix, Latus Rectum, and Parametric Coordinates
Topic 1.2 • Parabola II
Equations of Tangent and Normal, Point of Contact, and Chord Properties
Topic 2.1 • Ellipse I
Standard Form, Eccentricity, Foci, Directrices, and Parametric Representation
Topic 2.2 • Ellipse II
Tangent and Normal Equations, Director Circle, and Auxiliary Circle
Topic 3.1 • Hyperbola I
Standard Equation, Conjugate Hyperbola, Eccentricity, and Latus Rectum
Topic 3.2 • Hyperbola II
Equations of Tangents/Normals, Director Circle, and Parametric Forms
Topic 4.1 • Advanced Hyperbola
Asymptotes, Rectangular Hyperbola (xy=c²), and Specific Tangent Properties
Topic 4.2 • Common Properties