An ellipse has the point \( (1,-1) \) and \( (2,-1) \) as its \( \m...

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An ellipse has the point \( (1,-1) \) and \( (2,-1) \) as its
\( \mathrm{P}^{16:} \) foci and \( x+y=5 \) as one of its tangent then value of

W \( a^{2}+b^{2} \) where \( a, b \) are the length of semi-major and semi-minor axis of ellipse respectively, is
(1) \( \frac{41}{2} \)
(2) 10
(3) 19
(4) \( \frac{81}{4} \)
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