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JEE Math Practice Question

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

  1. A.4e4 – 24e2 + 27 = 0
  2. B.4e4 – 24e2 + 35 = 0
  3. C.4e4 – 12e2 - 27 = 0
  4. D.4e4 + 8e2 - 35 = 0

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