Page 14 - Jose Garcia_2013150017_grade12 ebook

BAB 4 HYPERBOLA

IV. Definition and General equation of
Hyperbola
Point A is 3 units of distance from point F'.
Point A is 8 units away from point F. Difference

from point A to point F' and to F is 8 3 = 5 units.
Define some other point that is different from

the point F' and to F is 5 units. Dotted

relationship to form a hyperbola. So, the
hyperbola is the locus of the points. the point where the difference between the two

points is fixed is the same. The two fixed points are called the focus and the
difference in the same distance is expressed by 2a.

Suppose that the point ( 0, 0) is a point that lies on hyperbole. By definition we

get − = 2 .
1
2

14 | c o n e s e c t i o n