SOLUTION: In the basic equation of a hyperbola what is the role of the semi-minor axis(b)? x^2/a^2

SOLUTION: In the basic equation of a hyperbola what is the role of the semi-minor axis(b)? x^2/a^2 - y^2/b^2= 1, what is b?

Question 182312: In the basic equation of a hyperbola what is the role of the semi-minor axis(b)? x^2/a^2 - y^2/b^2= 1, what is b?
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
Unlike the ellipse, no points of the hyperbola actually lie on the semi-minor axis, but rather the ratio b/a determines the vertical scaling of the hyperbola. It also helps define the eccentricity.
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when a=b asymptotes lie perpendicular to each other.