Questions

The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and the length of its conjugate axis is equal to half of the distance between its foci, is:

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detailed solution

Correct option is C

Given,2b2a=8 and 2b=12(2ae) 2b=ae⇒4b2=a2e2⇒16a=a2+b2 ⇒16a=a2+4a⇒a2=12a⇒a=12, b2=48 e=144+48144=43=23

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