The conjugate axis of a hyperbola is the line segment that passes through the center, perpendicular to the transverse axis, and has endpoints at the intersections with the hyperbola's asymptotes. Its length is equal to $2b$, where $b$ is one of the parameters defining the hyperbola.
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A line that a curve approaches as it heads towards infinity. For a hyperbola, there are two asymptotes that cross at its center.
$a$ (Semi-major Axis): $a$ represents half of the distance between vertices along the transverse axis in a standard form equation of a conic section such as an ellipse or hyperbola.