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JEE Math Practice Question

Let the foci of the ellipse $$\frac{x^{2}}{16}+\frac{y^{2}}{7}=1$$ and the hyperbola $$\frac{x^{2}}{144}-\frac{y^{2}}{\alpha}=\frac{1}{25}$$ coincide. Then the length of the latus rectum of the hyperbola is :

  1. A.$$\frac{32}{9}$$
  2. B.$$\frac{18}{5}$$
  3. C.$$\frac{27}{4}$$
  4. D.$$\frac{27}{10}$$

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