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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

`2sqrt(3)`

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
Since `(2b^(2))/a=12` and `b=2sqrt(3)`
`:.a=b^(2)//6=2`
`:. E=sqrt((a^(2)+b^(2))/(a^(2)))=sqrt((4+12)/4)=2`
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