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Hyperbola x²/a² − y²/b² = 1 formulas
8 formulas for Hyperbola x²/a² − y²/b² = 1, 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 |
|---|---|---|
| Eccentricity | e = √(1 + b²/a²) 🧮 Solve step by step | e > 1 |
| Foci | (±ae, 0) | |
| Asymptotes | y = ±(b/a)x | |
| Latus rectum | 2b²/a | |
| Difference of focal distances | |PS − PS′| = 2a | |
| Parametric | (a sec θ, b tan θ) | |
| Tangent (slope form) | y = mx ± √(a²m² − b²) | |
| Rectangular hyperbola | xy = c²; e = √2 🧮 Solve step by step |
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