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JEE Math Practice Question

A hyperbola having the transverse axis of length $$\sqrt 2 $$ has the same foci as that of the ellipse 3x2 + 4y2 = 12, then this hyperbola does not pass through which of the following points?

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

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