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JEE Math Practice Question

The normal to the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over 9} = 1$$ at the point $$\left( {8,3\sqrt 3 } \right)$$ on it passes through the point :

  1. A.$$\left( {15, - 2\sqrt 3 } \right)$$
  2. B.$$\left( {9,2\sqrt 3 } \right)$$
  3. C.$$\left( { - 1,9\sqrt 3 } \right)$$
  4. D.$$\left( { - 1,6\sqrt 3 } \right)$$

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