Find the eccentricity, coordinates of the foci, equations of directrices and length of the latus rectum of the hyperbola `3x^2-y^2=4`

Explanation

`3x^2- y^2=4`

`implies{3x^2}/4-{ y^2}/4=1`

` implies {x^2}/{4/3}-{ y^2}/4=1`

Here,` a=2/sqrt3,b=2`

Eccentricity is,

`e=sqrt{1+{b^2}/a^2}`

`implies e=sqrt{1+4/{4/3}}=4`

Foci is,

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