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JEE Math Practice Question

In a triangle $$ABC$$, medians $$AD$$ and $$BE$$ are drawn. If $$AD=4$$, $$\angle DAB = {\pi \over 6}$$ and $$\angle ABE = {\pi \over 3}$$, then the area of the $$\angle \Delta ABC$$ is :

  1. A.$${{64} \over 3}$$
  2. B.$${8 \over 3}$$
  3. C.$${{16} \over 3}$$
  4. D.$${{32} \over {3\sqrt 3 }}$$

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