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The ellipse E(1) : x^(2)/9 + y^(2)/4 =1...

The ellipse ` E_(1) : x^(2)/9 + y^(2)/4` =1 is inscribed in a rectangle R whose sides are parallel to the coordinate axes. Another ellipse ` E_(2)` passing through the point (0,4) circumscribes the rectangle R. The eccentricity of the ellispe is

A

`(sqrt2)/(2)`

B

`(sqrt3)/(2)`

C

`(1)/(2)`

D

`(3)/(4)`

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Verified by Experts

The correct Answer is:
C
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