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What are the geometric characteristics of a circle ellipse parabola and hyperbola?
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Which shape have no straight edges?
There are infinitely many shapes. Amongst them are conic sections (circle, ellipse, parabola, hyperbola); epicycles, cardoids, etc; totally irregular shapes like blobs or outlines of clouds or puddles of water; etc.
What is a cone in 2D?
It depends on your the inclinantion of the plane which is used to "slice" the cone. The answer can be a circle, ellipse, parabola, hyperbola or two intersecting lines. These (apart from the last) are known as conic sections. In terms of the 2-d figure that generates a cone, the answer is a straight line, with a non-zero slope, rotated about the x-axis.
How many foci does a parabola have?
A parabola has a single focus point. There is a line running perpendicular to the axis of symmetry of the parabola called the directrix. A line running from the focus to a point on the parabola is going to have the same distance as from the point on the parabola to the closest point of the directrix. In theory you could look at a parabola as being an ellipse with one focus at infinity, but that really doesn't help any. ■
What are the Applications of partial diffrential equations?
in case of finding the center of the ellipse or hyperbola for which axis or non parallel to axis we apply partial differential
What shape is cross section of a cone?
It depends on the angular plane of the Cross-section, to the conic axis. The conic-axis is a line from the point of the cone to the centre of a circular cross-section. #1 ; Cross section perpendicular to the acix is a CIRCLE. #2 ; Cross section angled to ther sides of the cone is an ELLIPSE #3 ; Cross section were the ends do not touch the circular face is a PARABOLA #4 ' Cross sectional plane which is parallel to the axis is a HYPERBOLA. The Cartesian Equations for each type are ;- #1 ; Circle ' x^(2) + y^(2) = 1 #2 ; Ellipse ' x^(2)/a^(2) + y^(2)/b^(2) = 1 #3 ; Parabola ' y^(2) = 4ax #4 ; Hyperbola ' x^(2)/a^(2) - y^(2)/b^(2) = 1
What is a point that helps define an ellipse parabola and hyperbola?
focus
What is the pathway for all the objects in space?
In simple terms, Parabola, Hyperbola or Ellipse
Is a graph of a quadratic function always a parabola?
No. It can also be a circle, ellipse or hyperbola.
What words did Apollonius of Perga introduce into the language of mathematics?
He is credited with introducing the words: ellipse, parabola and hyperbola.
Which shape has no vertices?
Shapes that have no veces include a circle, sphere, ellipse, ellipsoid, parabola, hyperbola, paraboloid, or hyperboid.
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.
In what topics models can be made in maths exhibition?
conic sections like hyperbola parabola circle nd ellipse....
What shape is a possible cross section of a cone?
A point, a straight line, a circle, an ellipse, a parabola and half a hyperbola.
What can be formed when a plane intersects a cone?
The various shapes are: point, straight line, circle, ellipse, parabola and hyperbola.
What 2D shape looks like a squashed circle and no straight edges?
an ellipse, one of the four types of "conic sections": ellipse, circle, parabola, and hyperbola
What does a nonlinear graph look like?
any graph that is not represented by a line,ie: parabola, hyperbola, circle, ellipse,etc
What is the transverse axis?
The transverse axis is an imaginary line that passes through the center of a conic section (such as an ellipse, hyperbola, or parabola) and is perpendicular to the axis of symmetry. In an ellipse, the transverse axis is the longest diameter, while in a hyperbola, it passes through the foci.
