Conic Sections Math Formulas Sheet Page 2
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1
22
2
2
2
if a
b =
F
a
b
, 0
F
a
b
, 0
1
2
10.
2
2
2
2
if a < b =
F
0,
b
a
F
0,
b
a
1
2
Area of the ellipse:
11.
A = π a b
The Hyperbola Formulas
The set of all points in the plane, the difference of whose distances from two fixed points, called the foci,
remains constant.
The standard formula of a hyperbola:
2
2
x
y
12.
= 1
2
2
a
b
Parametric equations of the Hyperbola:
a
x =
sin t
13.
b sin t
y =
cos t
Tangent line in a point D(x
, y
) of a Hyperbola:
0
0
x
x
y
y
0
0
14.
= 1
2
2
a
b
Foci:
2
2
2
2
if a
b =
F
a
+ b
, 0
F
a
+ b
, 0
1
2
15.
2
2
2
2
if a < b =
F
0,
a
+ b
F
0,
a
+ b
1
2
Asymptotes:
b
b
if a
b =
y =
x and y =
x
a
a
16.
a
a
if a < b =
y =
x and y =
x
b
b
2
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