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JEE Math Practice Question

The foci of the ellipse $${{{x^2}} \over {16}} + {{{y^2}} \over {{b^2}}} = 1$$ and the hyperbola $${{{x^2}} \over {144}} - {{{y^2}} \over {81}} = {1 \over {25}}$$ coincide. Then the value of $${b^2}$$ is :

  1. A.$$9$$
  2. B.$$1$$
  3. C.$$5$$
  4. D.$$7$$

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