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If the maximum distance of any point on the ellipse `x^2+2y^2+2x y=1` from its center is `r ,` then `r` is equal to `3+sqrt(3)` (b) `2+sqrt(2)` `(sqrt(2))/(sqrt(3-sqrt(5)))` (d) `sqrt(2-sqrt(2))`

A

`(sqrt6+1)/2`

B

`(sqrt5+1)/2`

C

`(sqrt3+1)/2`

D

`(sqrt2+2)/2`

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The correct Answer is:
B
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