An equation of the ellipse centered at \( (0,0) \) having eccentric...

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An equation of the ellipse centered at \( (0,0) \) having eccentricity \( \frac{3}{5} \) and passing through \( (4,0) \) is
(a) \( 16 x^{2}+25 y^{2}=256 \)
(b) \( 25 x^{2}+16 y^{2}=400 \)
(c) \( 25 x^{2}+16 y^{2}=256 \)
(d) \( 16 x^{2}+25 y^{2}=400 \)
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