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Ellipse x²/a² + y²/b² = 1 (a > b) formulas
9 formulas for Ellipse x²/a² + y²/b² = 1 (a > b), 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 | 0 < e < 1 |
| Foci | (±ae, 0) | |
| Directrices | x = ±a/e | |
| Latus rectum | 2b²/a | |
| Sum of focal distances | PS + PS′ = 2a | |
| Parametric | (a cos θ, b sin θ) | |
| Tangent at (x₁, y₁) | xx₁/a² + yy₁/b² = 1 🧮 Solve step by step | |
| Tangent (slope form) | y = mx ± √(a²m² + b²) | |
| Area | πab |
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