If a directrix of a hyperbola centered at the origin and passing through the point $(4, -2\sqrt 3)$ is $5x = 4\sqrt 5$ and its eccentricity is $e$, then
If a directrix of a hyperbola centered at the origin and passing through the point $(4, -2\sqrt 3)$ is $5x = 4\sqrt 5$ and its eccentricity is $e$, then
- [JEE MAIN 2019]
- A
$4e^4 + 8e^2 -35 = 0$
- B
$4e^4 -24e^2 + 35 = 0$
- C
$4e^4 -12e^2 -27 = 0$
- D
$4e^4 -24e^2 + 27 = 0$
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- [IIT 2017]
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