the distance between the foci is 4root13 and the length of conjugate axis is 8 then the eccentricity of the - Maths - Conic Sections

Question

the distance between the foci is 4root13 and the length of
conjugate axis is 8 then the eccentricity of the hyperbola is

Mayank Jha · Accepted Answer

Dear student,

Given, Length of conjugate axis = 8 unit = 2b⇒b = 82 = 4 unitDistance between the foci = 413 unit = 2c⇒c = 4132 = 213 unitWe know that, a = c2 - b2 = 52 - 16 = 36 = 6 unitThus, Eccentricity of the hyperbola will be = 1 + b2a2 = 1 + 1636 = 1 + 49 =133

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the distance between the foci is 4root13 and the length of conjugate axis is 8 then the eccentricity of the hyperbola is