If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13 , then the eccentricity of the hyperbola is:

Question

TestHub · Accepted Answer

∴ Conjugate axis = 5 ∴ 2 b = 5 Distance betwecn foci = 13 2 a e = 13 Then, b 2 = a 2 ( e 2 − 1 ) ⇒ a 2 = 36 ∴ a = 6 a e = 2 13 ​ ⇒ e = 12 13 ​

Mathematics - Hyperbola Question with Solution | TestHub