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Sections of a cone, circle, ellipse, parabola and hyperbola and Degenerate Conic Sections Video Lecture | Mathematics (Maths) for JEE Main & Advanced

209 videos|443 docs|143 tests

FAQs on Sections of a cone, circle, ellipse, parabola and hyperbola and Degenerate Conic Sections Video Lecture - Mathematics (Maths) for JEE Main & Advanced

1. What are the different sections of a cone?
Ans. A cone consists of three sections: the base, the lateral surface, and the vertex. The base is a circular shape, the lateral surface is a curved surface connecting the base to the vertex, and the vertex is the point where the lateral surface meets.
2. What is a degenerated conic section?
Ans. A degenerated conic section refers to a conic section that has lost its distinctive shape due to certain conditions. For example, a degenerated cone can become a circle or a straight line if the apex is moved towards the base.
3. How is a circle related to a cone?
Ans. A circle can be considered as a special case of a cone. When the height of the cone is zero, it becomes a cylinder, and if the radius of the cylinder is also zero, it becomes a circle.
4. What is the shape of an ellipse?
Ans. An ellipse is a closed curve that resembles a squashed circle. It has two foci and is formed by the intersection of a cone and a plane that is not parallel to the base.
5. How is a parabola different from other conic sections?
Ans. A parabola is a conic section that has only one focus and a directrix. It is formed by the intersection of a cone and a plane that is parallel to one of the sides of the cone. Unlike an ellipse or hyperbola, a parabola does not have two foci.
209 videos|443 docs|143 tests

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