Conjugate Hyperbola
Hyperbola of Class 11
Conjugate Hyperbola
= 1 and = −1 are conjugate hyperbolas.
Eccentricity (e′) of conjugate hyperbola = −1 is given by
(e′)2 = 1 + a2/b2
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(a) centre (0, 0) (b) foci (0, ±be′) (c) Directrices y = ±b/e′ (d) Vertices (0, ±b) (e) Equation of transverse axis x = 0 Length of transverse axis = 2b (f) Equation of conjugate axis y = 0 Length of conjugate axis = 2a (g) Length of Latus rectum = 2a2/b |
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