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Home/Mathematics/Coordinate Geometry/Conic Section Identifier
Math CalculatorCoordinate Geometry

Conic Section Identifier

Identify the type of conic section from the general second-degree equation Ax² + Bxy + Cy² + Dx + Ey + F = 0. Determines whether it is a circle, ellipse, parabola, or hyperbola.

Updated 2025-01-154 min readCalzyra Math Team

Calculator

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Coefficient of the x² term

Coefficient of the xy term

Coefficient of the y² term

Coefficient of the x term

Coefficient of the y term

Constant term

Formula & Methodology

How this calculator works

Discriminant = B² - 4AC

Use the discriminant of the general second-degree equation: if B² - 4AC < 0 it is a circle or ellipse; if B² - 4AC = 0 it is a parabola; if B² - 4AC > 0 it is a hyperbola. When B = 0 and A = C it is a circle.

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