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The apex of a conic section refers to the highest or lowest point of a curve, depending on its orientation. In the context of a parabola, the apex is synonymous with the vertex, which is the point where the curve changes direction. For hyperbolas and ellipses, the term is less commonly used, but it can refer to the points of intersection with the major axis or the extreme points of the curve. Overall, the apex signifies a critical point that defines the shape and properties of the conic section.
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What is a conic section?
A conic section is a curve formed by the intersection of a plane with a cone (conical surface). If the section is parallel to the base of the cone, the conic section has a fixed diameter and is a circle. Any other plane that does not intersect the apex is either a parabola, a hyperbola, or an ellipse.
Which conic section is a closed curve?
circle and ellipse are closed curved conic section!, from bilal , Pakistan
Who discovered the conic section?
Leibniz
Which conic section has a directrix?
Parabolas have directori.
What is the intersection of a plane passing through the apex of a right circular cone?
The intersection of a plane passing through the apex of a right circular cone is a conic section. Depending on the angle at which the plane intersects the cone, it can result in different shapes: if the plane is parallel to the base of the cone, it produces a circle; if it cuts through the cone at an angle, it can yield an ellipse, parabola, or hyperbola. The specific type of conic section formed is determined by the orientation and position of the plane relative to the cone.
What is a conic section?
A conic section is a curve formed by the intersection of a plane with a cone (conical surface). If the section is parallel to the base of the cone, the conic section has a fixed diameter and is a circle. Any other plane that does not intersect the apex is either a parabola, a hyperbola, or an ellipse.
What a conic section?
A conic section is a curve formed by the intersection of a plane with a cone (conical surface). If the section is parallel to the base of the cone, the conic section has a fixed diameter and is a circle. Any other plane that does not intersect the apex is either a parabola, a hyperbola, or an ellipse.
Which conic section is a closed curve?
circle and ellipse are closed curved conic section!, from bilal , Pakistan
Does a conic section have vertices?
No, a conic section does not have vertices. If it is a circle, it has a center; if it is a parabola or hyperbola, it has a focus; and if it is an ellipse, it has foci.
Can you create a conic section that consists of two circles of equal size?
Yes, if you use both sides of the mathematical cone (on each side of the apex).
Who discovered the conic section?
Leibniz
What is the name of a tapered cylinder with different diameters each end?
Bi-truncated conic section, or doubly-truncated conic section
Which conic section has a directrix?
Parabolas have directori.
What Which of the following conic sections describes a closed curve?
Ellipse and curve! apex
What is the intersection of a plane passing through the apex of a right circular cone?
The intersection of a plane passing through the apex of a right circular cone is a conic section. Depending on the angle at which the plane intersects the cone, it can result in different shapes: if the plane is parallel to the base of the cone, it produces a circle; if it cuts through the cone at an angle, it can yield an ellipse, parabola, or hyperbola. The specific type of conic section formed is determined by the orientation and position of the plane relative to the cone.
Which shape never have parallel sides?
Any conic section.
How conics generated?
A conic section is generated by the intersection of a plane with a double cone. The specific shape of the conic section (ellipse, parabola, hyperbola, or circle) depends on the angle of the plane in relation to the axis of the cone. The different conic sections result from different orientations of the cutting plane.
