hyperbola
The standard of conic section by linear is the second order polynomial equation. This is taught in math.
circle and ellipse are closed curved conic section!, from bilal , Pakistan
Leibniz
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.
No, not every equation of the form (x^2 + mx + y^2 + ny = p) represents a circle. For an equation to represent a circle, it must be in the standard form ((x - h)^2 + (y - k)^2 = r^2), where (r) is the radius. The presence of linear terms (mx) and (ny) means that the equation could represent a different conic section, such as an ellipse or hyperbola, depending on the values of (m), (n), and (p).
The standard of conic section by linear is the second order polynomial equation. This is taught in math.
circle and ellipse are closed curved conic section!, from bilal , Pakistan
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.
Leibniz
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.
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.
Bi-truncated conic section, or doubly-truncated conic section
No, not every equation of the form (x^2 + mx + y^2 + ny = p) represents a circle. For an equation to represent a circle, it must be in the standard form ((x - h)^2 + (y - k)^2 = r^2), where (r) is the radius. The presence of linear terms (mx) and (ny) means that the equation could represent a different conic section, such as an ellipse or hyperbola, depending on the values of (m), (n), and (p).
Parabolas have directori.
To determine the type of conic section described by an equation, we need to analyze its standard form. Common forms include: a circle (if (x^2 + y^2 = r^2)), an ellipse (if ( \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1)), a parabola (if it has one squared term, like (y = ax^2 + bx + c)), or a hyperbola (if it has the form (\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1)). If you provide the specific equation, I can identify the exact type of conic section it represents.
Ellipse circle
Any conic section.