Find an equation for the conic that satisfies the given conditions. (a) Ellipse, foci (0, 2), (0,6),

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Find an equation for the conic that satisfies the given conditions.
(a) Ellipse, foci (0, 2), (0,6), vertices (0, 0), (0,8)
(b) Ellipse, center (-1, 4), vertex (-1, 0), focus (-1, 6)
(c) Hyperbola, vertices (±3, 0), foci (±5,0 )
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