Conic Sections

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13 Terms

1
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(x - h)² + (y - k)² = r²

Standard Form of a Circle

2
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x² + y² + Dx + Ey + F = 0

General Form of a Circle

3
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Circle

Plane passes through one nap, perpendicular to the axis

4
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Ellipse

Passes through one nap at an angle

5
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Parabola

Passes through one nap, angled to the generator

6
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Hyperbola

Passes through both naps

7
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Non-Degenerate Conics

Circle,Ellipse,Parabola,Hyperbola

8
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Degenerate Conics

cases where the intersecting plane passes through the vertex of the cone

9
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D²/4 + E²/4 - F = R²

Formula to get the Radius²

10
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Distance Formula

√(x₂-x₁)² + (y₂-y₁)²

11
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Circle

R > 0

12
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Point Circle

R = 0

13
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No graph

R < 0