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What is the eccentricity of rectangular hyperbola?
How is that value derived?
The eccentricity of a hyperbola is defined as the ratio of the distance between the foci to the length of the major axis. For a rectangular hyperbola, the distance between the foci is a√2, where a is the length of each side of the rectangle. The length of the major axis is also 2a. Thus, the eccentricity can be calculated as e = a√2 / 2a, which simplifies to √2.