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The eccentricity of the hyperbola with l...

The eccentricity of the hyperbola with latursrectum `12` and semi-conjugate axis is `2sqrt(3)`, is

A

3

B

`sqrt(3/2)`

C

`2sqrt3`

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
Since, `(2b^(2))/(a)=12 and b=2sqrt3`
`therefore`a=b^(2)/6=2`
`therefore e=sqrt((a^(2)+b^(2))/(a^(2))=)sqrt((4+12)/(4)=2)`
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