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

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 ellipse `E_(2)` is

A

`(sqrt2)/(2)`

B

`(sqrt3)/(2)`

C

`(1)/(2)`

D

`(3)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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