Conic Sections ,Circle & Parabola, Chapter-11,Class-XI The sections of the double napped right circular cone with the plane are called conic sections. eg:- circle, ellipse, parabola and hyperbola etc. all are the examples of conic sections. APPLICATIONS:- These curves have wide applications in the field of planetary motion, design of telescope, antenas, reflectors of flash light and automobile headlights. Vertex of the double napped cone separate the cone into two parts each part is called Nappes. α (alpha) is the angle made by the generator with the x-axis.