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Explain in Detail :Eccentricity of Hyperbola
The eccentricity of a hyperbola is a measure of how elongated the curve is. It is defined as the ratio of the distance from the center of the hyperbola to the longest distance from the same point to the curve. The eccentricity is always less than 1.
Standard Equation of Hyperbola
The standard equation of a hyperbola is:
(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\)
Where:
x is the horizontal distance from the center of the hyperbola to the point of interest
y is the vertical distance from the center of the hyperbola to the point of interest
a is the length of the horizontal axis
b is the length of the vertical axis