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and 
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.
. Obtain the equation of the hyperbola, the coordinates of all its characteristic points, and the equation of asymptotes.
is given. Obtain the vertices, coordinates of the centre, foci and the equation of asymptotes of the hyperbola.
and 
.
and the asymptotes 
.
, and the lines 
and 
are its asymptotes.
with the coordinate axes. Also determine the asymptote equations.
and the semi major axis measures 2 units. Determine the equations of the asymptotes and draw the hyperbola.
.
with the axis x, and one focus is at the point 
. Write down its asymptotes as well. What angle do the asymptotes enclose with the abscissa?
in parallel so that its centre is in the coordinate origin. Obtain the coordinates of the foci and the asymptote equation of the resulting hyperbola.
and goes through the point 
.
(also draw the asymptotes). Calculate and obtain the intersections of the hyperbola and the line 
.
