Question

Which of the following is not an example of a conic section? Select all that apply. ellipse circle rational function parabola line hyperbola

Answer 1

Conic sections are the figure formed by a plane and a circle . Ellipse, circle , parabola and hyperbola all are examples of conic sections . And a line is a 2 dimensional object so its not an example of conic section. And similarly rational functions are not formed by the intersection of plane and circle, so it is not an example of conic section too .

Therefore line and rational function are not example of conic section .

Answer 2

The only given option that is not an example of a conic section is;

Option C; Rational functions

    Conic sections are defined as curves that are generated as a result of the intersection of a cone with a plane.

Let us look at the options;

Option A; Ellipse is a plane curve that surrounds two focal points and is therefore a conic section.

Option B; Circle can be gotten by the intersection of a plane's perpendicular axis with a cone and is therefore a conic section.

Option C; Rational function is not a conic section because it is a function and not a curve.

Option D; Parabola is a slice of a right cone parallel to a generating line and is therefore a conic section.

Option E; Hyperbolas are formed when the planes perpendicular to the bases of a double cone intersect each other.

In conclusion the only option that is not a conic section is Rational functions.

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Therefore line and rational function are not example of conic section .