Algebra2D

Conic Sections - Theory & Concepts - Conic General

Equations, properties, and graphs of circles, ellipses, parabolas, and hyperbolas.

General Equation

(2.0)x^2 + (1.0)xy + (2.0)y^2 = 8

Coefficient A2.0

XY Coefficient B1.0

Coefficient C2.0

Axis Rotation Angle

\theta = 45.0^\circ \quad (0.785\text{ rad})

Eliminates the

xy

term through rotation to produce standard form.

Conic TypeEllipse

Discriminant

(B^2 - 4AC)

-15.0

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