We find the intersection of a hyperbola with the y-axis by solving the system
This system has no solution, i.e., the hyperbola does not intersect the y -axis; for this reason,
b is the imaginary semiaxis. It is seen from the equation and the figure that the hyperbola is symmetric with respect to the axes We determine у from the equation of a hyperbola:
As
|
is called the imaginary axis of a hyperbola, and
and 
.
; 
.
, 
. Consequently, the hyperbola is unbounded.
