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General conic formulas
4 formulas for General conic, from the Coordinate Geometry section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| General equation | ax² + 2hxy + by² + 2gx + 2fy + c = 0 🧮 Solve step by step | |
| Type test | h² − ab < 0 ellipse; = 0 parabola; > 0 hyperbola | if non-degenerate |
| Pair of lines | abc + 2fgh − af² − bg² − ch² = 0 🧮 Solve step by step | |
| Angle between pair of lines | tan θ = 2√(h² − ab)/(a + b) 🧮 Solve step by step |
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