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The locus of the mid -point of the line ...

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

A

`(sqrt(3))/2 `

B

`1/(2sqrt(2))`

C

`1/(sqrt(2))`

D

`1/2`

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