What is the equation of the hyperbola having latus rectum and eccentricity 8 and \(\frac{3}{{\sqrt 5 }}\) respectively?
1
\(\frac{{{x^2}}}{{25}} - \frac{{{y^2}}}{{20}} = 1\)
2
\(\frac{{{x^2}}}{{40}} - \frac{{{y^2}}}{{20}} = 1\)
3
\(\frac{{{x^2}}}{{25}} - \frac{{{y^2}}}{{30}} = 1\)
4
\(\frac{{{x^2}}}{{30}} - \frac{{{y^2}}}{{25}} = 1\)