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in Ellipse by (51.1k points)

An ellipse passes through the point (4, –1) and its axes are along the axes of coordinates. If the line x + 4y – 10 = 0 is a tangent to it then its equation is

(a) \(\frac{x^2}{100} + \frac{y^2}5 = 1\)

(b) \(\frac{x^2}{8} + \frac{y^2}{5/4} = 1\)

(c) \(\frac{x^2}{20} + \frac{y^2}5 = 1\)

(d) None of these

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