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

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