Centre at the origin
Hyperbola  |
Conjugate hyperbola  |
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| 1. Transverse axis is along X-axis (y = 0), Length of the transverse axis is 2a |
Transverse axis is along Y-axis (x = 0), Length of the transverse axis is 2b |
| 2. Conjugate axis is along y-axis (x = 0), Length of conjugate axis is 2b |
Conjugate axis is along X-axis (y = 0), Length of conjugate axis is 2a |
| 3. Coordinates of the centre (0, 0) | Coordinates of the centre (0, 0) |
| 4. Coordinates of the foci (± ae, 0) | Coordinates of the foci (0, ± be) |
| 5. Equation of the directrices x = ± a/e | Equation of the directrices x = ± b/e |
6. Eccentricity e =  |
Eccentricity e' =  |