Respuesta :
Different difintions:
A circle is the set of all points in a plane that are equidistant from a given point called the centre of the circle.
An ellipse is the set of all poins in a plane such that sum of the distances from two fixed points (foci) is constant.
A parabola the set of all points in a plane equidistant from a fixed point (focus) and a fixed line (directrix).
A hyperbola is the set of all points in a plane such that the difference of the distances from two fixed points (foci) is constant.
A circle is the set of all points in a plane that are equidistant from a given point called the centre of the circle.
An ellipse is the set of all poins in a plane such that sum of the distances from two fixed points (foci) is constant.
A parabola the set of all points in a plane equidistant from a fixed point (focus) and a fixed line (directrix).
A hyperbola is the set of all points in a plane such that the difference of the distances from two fixed points (foci) is constant.
Answer:
Step-by-step explanation:
The general form of a conic section:
Ax^2+Bxy+Cy^2+Dx+Ey+F=0
If B = 0, then:
Ellipse: x² and y² have different positive coefficients.
Hyperbola: x² and y² have different signs.
Otherwise, determine the discriminant:
If B² − 4AC < 0, then the conic is an ellipse.
If B² − 4AC > 0, then the conic is a hyperbola.
