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JEE Math Practice Question

A hyperbola whose transverse axis is along the major axis of the conic, $${{{x^2}} \over 3} + {{{y^2}} \over 4} = 4$$ and has vertices at the foci of this conic. If the eccentricity of the hyperbola is $${3 \over 2},$$ then which of the following points does NOT lie on it?

  1. A.(0, 2)
  2. B.$$\left( {\sqrt 5 ,2\sqrt 2 } \right)$$
  3. C.$$\left( {\sqrt {10} ,2\sqrt 3 } \right)$$
  4. D.$$\left( {5,2\sqrt 3 } \right)$$

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