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If a directrix of a hyperbola centred at...

If a directrix of a hyperbola centred at the origin and passing through the point `(4,-2 sqrt(3)) " is " 5x=4sqrt(5)` and its eccentricity is e, then

A

`4e^(4 ) - 12e^(2)- 27= 0`

B

`4e^(4) + 8e^(2)- 35= 0`

C

`4e^(4)- 24e^(2) + 27= 0`

D

`4e^(4) - 24e^(2) + 35= 0`

Text Solution

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The correct Answer is:
D
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