An ellipse passes through the point \( (4,-1) \) and its axes are a...

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An ellipse passes through the point \( (4,-1) \) and its axes are along the axes of coordinate. If the line \( x+ \) \( 4 y-10=0 \) is a tangent to it then its equation is
(a) \( \frac{x^{2}}{100}+\frac{y^{2}}{5}=1 \)
(b) \( \frac{x^{2}}{80}+\frac{y^{2}}{5 / 4}=1 \)
(c) \( \frac{x^{2}}{20}+\frac{y^{2}}{5}=1 \)
(d) none of these
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