Find the standard form of the equation of the hyperbola with the given characteristics and center at

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Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
1. Vertices: (0, ±1); foci: (0, ±5)
2. Vertices: (±4, 0); foci: (±6, 0)
3. Vertices: (±1, 0); asymptotes: y = ±2x
4. Vertices: (0, ±2); asymptotes: y = ± 2/ √5 x
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