<P> The semi-major axis of a hyperbola is, depending on the convention, plus or minus one half of the distance between the two branches . Thus it is the distance from the center to either vertex (turning point) of the hyperbola . </P> <P> A parabola can be obtained as the limit of a sequence of ellipses where one focus is kept fixed as the other is allowed to move arbitrarily far away in one direction, keeping l (\ displaystyle \ ell) fixed . Thus a (\ displaystyle a) and b (\ displaystyle b) tend to infinity, a (\ displaystyle a) faster than b (\ displaystyle b). </P> <P> The semi-minor axis of an ellipse or hyperbola is a line segment that is at right angles with the semi-major axis and has one end at the center of the conic section . </P> <P> The major and minor axes are the axes of symmetry for the curve: in an ellipse, the minor axis is the shorter one; in a hyperbola, it is the one that does not intersect the hyperbola . </P>

Relation between semi major axis and semi minor axis of ellipse
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