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An ellipse has the point (1,-1) and (2,-...

An ellipse has the point `(1,-1)` and `(2,-1)` as its foci and `x+y =5` as one of its tangent then value of `a^(2)+b^(2)` where a,b are the length of semi-major and semi-minor axis of ellipse respectively, is

A

`(41)/(2)`

B

10

C

19

D

`(81)/(4)`

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The correct Answer is:
D
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