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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 :

${{\sqrt 3 } \over 2}$
${1 \over {2\sqrt 2 }}$
${1 \over {\sqrt 2 }}$
${1 \over 2}$

Solution

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