Skip over navigation

Conic Sections

Problems

Introduction to Conics

Parabolas

Problem : Is the following conic a parabola, an ellipse, a circle, or a hyperbola: -3x 2 + y + 2 = 0 ?

It is a parabola.

Problem : Is the following conic a parabola, an ellipse, a circle, or a hyperbola: 2x 2 +3xy - 4y 2 + 2x - 3y + 1 = 0 ?

It is a hyperbola.

Problem : Is the following conic a parabola, an ellipse, a circle, or a hyperbola: 2x 2 -3y 2 = 0 ?

It is a hyperbola.

Problem : Is the following conic a parabola, an ellipse, a circle, or a hyperbola: -3x 2 + xy - 2y 2 + 4 = 0 ?

It is an ellipse or a circle.

Problem : Is the following conic a parabola, an ellipse, a circle, or a hyperbola: x = 0 ?

It is a degenerate conic. x = 0 is a line.

Follow Us