How do you write an equation for the hyperbola with focus at (0, 25), asymptotes intersecting at (0, 5) and an asymptote passing through (24, 13)?
The asymptotes intersect at the center
A focus is
where a is the semi transverse axis and e is the eccentricity.
The transverse axis is along the y-axis. So, the equation of the
As it passes through (24, 13),
Substituting a = 20/e and simplifying,
As e > 1,
^Semi conjugate axis
And now, the equation is obtained as