Q: What are the geometric characteristics of a circle ellipse parabola and hyperbola?

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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.

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.

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. ■

in case of finding the center of the ellipse or hyperbola for which axis or non parallel to axis we apply partial differential

There are different standard forms for different things. There is a standard form for scientific notation. There is a standard form for the equation of a line, circle, ellipse, hyperbola and so on.

Related questions

focus

In simple terms, Parabola, Hyperbola or Ellipse

No. It can also be a circle, ellipse or hyperbola.

He is credited with introducing the words: ellipse, parabola and hyperbola.

Shapes that have no veces include a circle, sphere, ellipse, ellipsoid, parabola, hyperbola, paraboloid, or hyperboid.

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.

conic sections like hyperbola parabola circle nd ellipse....

A point, a straight line, a circle, an ellipse, a parabola and half a hyperbola.

The various shapes are: point, straight line, circle, ellipse, parabola and hyperbola.

an ellipse, one of the four types of "conic sections": ellipse, circle, parabola, and hyperbola

any graph that is not represented by a line,ie: parabola, hyperbola, circle, ellipse,etc

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.