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JEE Math Practice Question

The locus of the mid point of the line segment joining the point (4, 3) and the points on the ellipse $${x^2} + 2{y^2} = 4$$ is an ellipse with eccentricity :

  1. A.$${{\sqrt 3 } \over 2}$$
  2. B.$${1 \over {2\sqrt 2 }}$$
  3. C.$${1 \over {\sqrt 2 }}$$
  4. D.$${1 \over 2}$$

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