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JEE Math Practice Question

If the line x – 2y = 12 is tangent to the ellipse $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$ at the point $$\left( {3, - {9 \over 2}} \right)$$ , then the length of the latus rectum of the ellipse is :

  1. A.5
  2. B.9
  3. C.$$8\sqrt 3 $$
  4. D.$$12\sqrt 2 $$

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