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 :
A
`4//sqrt3`
B
`2//sqrt3`
C
`sqrt3`
D
`4//3`
Text Solution
Verified by Experts
The correct Answer is:
B
Given `2b=(1)/(2)(2ae)rArr b = (ae)/(2)` Now `b^(2)=a^(2)(e^(2)-1)` `rArr" "a^(2)(e^(2)-1)=(a^(2)e^(2))/(4)rArr3e^(2)=4rArre=(2)/(sqrt3)`
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