Derive Equations of Ellipses and Parabolas
Geometry · Flashcards · Application
GEOMETRY · FLASHCARDS
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QUESTION
What is the equation of the hyperbola with foci
(
0
,
±
6
)
(0, \pm 6)
(
0
,
±
6
)
and constant difference
4
4
4
?
QUESTION
Find
e
e
e
for a hyperbola with
a
=
5
a=5
a
=
5
and
c
=
13
c=13
c
=
13
.
QUESTION
Find the center if the foci are
(
−
2
,
5
)
(-2,5)
(
−
2
,
5
)
and
(
8
,
5
)
(8,5)
(
8
,
5
)
.
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ANSWER
(
3
,
5
)
(3,\,5)
(
3
,
5
)
. The center is the midpoint:
(
−
2
+
8
2
,
5
+
5
2
)
=
(
3
,
5
)
\left(\frac{-2+8}{2}, \frac{5+5}{2}\right) = (3,5)
(
2
−
2
+
8
,
2
5
+
5
)
=
(
3
,
5
)
.
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