10 Curves in theplane
CR2
x
y Data satisfying some relations
Linear Ax By C O AB C ER
yn Algebraic
Cray
Geometric
x
Quadratic conics It
straight line but curve
1122
10.1 Conics Xy in satisfying
Ax2tBxytCy2tDxtE F o Algebraic
Geometric Circle FEET
Ellipse Y
Hyperbola
ParabolaF
lcircb.IT
Example Xy satisfying X7y2 I of'fnbf
at distances o
Geometric
Graph Not a function
, Definition Circle
Points x
y in the plane IR RxR
satisfying the adat'm x Xo Cy yd r Algebraic
at distance r of center xoxo Geometrically
1EllipseT
1122
to Points xy E sit
k 24 4 01 s
foci : plural of focus
circle is the case a7b r2
Example X
Y
Y l
xoxo had a
I
II.at
xb
O
fI
Cao
I
I
what isthe geometricdefinition 1
Defile the foci ft
f
AF a b
tabs
Note that cap is a distance d a AFF offs
d at off
b cab
t.at
pq
IityI I
check a a
b f
Same far o b distance
of b a b7 a
d a
CR2
x
y Data satisfying some relations
Linear Ax By C O AB C ER
yn Algebraic
Cray
Geometric
x
Quadratic conics It
straight line but curve
1122
10.1 Conics Xy in satisfying
Ax2tBxytCy2tDxtE F o Algebraic
Geometric Circle FEET
Ellipse Y
Hyperbola
ParabolaF
lcircb.IT
Example Xy satisfying X7y2 I of'fnbf
at distances o
Geometric
Graph Not a function
, Definition Circle
Points x
y in the plane IR RxR
satisfying the adat'm x Xo Cy yd r Algebraic
at distance r of center xoxo Geometrically
1EllipseT
1122
to Points xy E sit
k 24 4 01 s
foci : plural of focus
circle is the case a7b r2
Example X
Y
Y l
xoxo had a
I
II.at
xb
O
fI
Cao
I
I
what isthe geometricdefinition 1
Defile the foci ft
f
AF a b
tabs
Note that cap is a distance d a AFF offs
d at off
b cab
t.at
pq
IityI I
check a a
b f
Same far o b distance
of b a b7 a
d a
