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The ellipse E1:(x^2)/9+(y^2)/4=1 is insc...

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 `Rdot` The eccentricity of the ellipse `E_2` is `(sqrt(2))/2` (b) `(sqrt(3))/2` (c) `1/2` (d) `3/4`

A

`(sqrt(2))/(2)`

B

`(sqrt(3))/(2)`

C

`(1)/(2)`

D

`-(3)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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