CON009 · Conic sections · Classes 11–12
Conic Section: Hyperbola
A cut steeper than the side that passes through both nappes of a double cone gives a hyperbola (two branches).
Conic Section: Hyperbola📐 Formula
β < α → e > 1 (hyperbola)
✏️ Worked example
α = 30°, β = 10°: e = 0.985 ÷ 0.866 ≈ 1.14 → hyperbola.
🌍 Where it is used
Cooling towers, navigation (LORAN) and sonic booms.
❓ Quick check
A hyperbola has how many branches?