11th Mathematics NCERT Chapter 10

– Introduction to Conic Sections: Study of circles, ellipses, parabolas, and hyperbolas derived from intersections of a plane with a double napped right circular cone. These curves have applications in various fields like planetary motion and optic designs.

– Circle, Ellipse, Parabola, and Hyperbola: Details on how different types of conic sections (circle, ellipse, parabola, hyperbola) are formed based on the intersection of a plane with a cone at varying angles. Includes equations and properties specific to each curve【4:0†source】【4:1†source】.

– Historical Significance: A brief historical note on the development of geometry, specifically focusing on the works of ancient Greek geometers like Euclid and Apollonius in the study of conic sections【4:1†source】.

– Miscellaneous Exercises: Practical exercises involving conic sections, such as finding focuses, determining equations, and exploring geometric properties in different scenarios like parabolic reflectors, suspension bridges, and inscribed triangles【4:3†source】.