IITJEE Mains • Mathematics New Syllabus
Module 11: Circles & Conic Sections Hub
Master the geometry of curved paths. Explore standard equations, parametric forms, tangents, and normal properties of circles, parabolas, ellipses, and hyperbolas.
Topic 1.1 • Circles I
Standard and General Equation of a Circle, Center, Radius, and Intercepts on Axes
Topic 1.2 • Circles II
Condition for Tangency, Equations of Tangent and Normal, and Point of Contact
Topic 2.1 • Parabola I
Standard Equations, Focus, Directrix, Latus Rectum, and Parametric Coordinates
Topic 2.2 • Parabola II
Equations of Tangent and Normal, Condition of Tangency, and Geometric Properties
Topic 3.1 • Ellipse I
Standard Equation, Eccentricity, Foci, Directrices, and Parametric Representation
Topic 3.2 • Ellipse II
Equations of Tangent and Normal, Director Circle, and Auxiliary Circle
Topic 4.1 • Hyperbola I
Standard Equation, Conjugate Hyperbola, Eccentricity, Latus Rectum, and Foci
Topic 4.2 • Hyperbola II