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TRILCE
AREQUIPA
Cincratenencia 2.1.
Garacion, anónica
~Defini Fo D
C: +
y
=
2
Mill
0: CENTRO.
FIEMPLO!
C P
Op: RADIO
- ·
(0,0)
-
X
x+
y
=
5
↳ A
&
⑧
13
AB:DIEMETRO: IR R=
5
8
CD:CrERDd
P
E
EMR:
E -
23 I ON: A POTEM.
x+y- 64 =
0
- - MF:FLECH O
SaGid 1 =
8
21
2.2. Ecracón
Onpinania
2.Ecraciones d
A
c(hik) (x -
h)+
(y -
x)
=
R2
k
E
jencidos:
-en
hik I n
-(x +
2)
+
(y -
5)=
49
E
-
n
-
(1-
2,3),R =
1
W
EJEMPL: 2.3.
EcracionGENERAL
x+
y2-
4x -
sy
-
12 =
0 R=
A
l
+
B-
4
xty+
Ax +
By +
c=
0
2
x- 4x +
4 R=
(
-
4)+1-
6p
-
4)-
72) =
96 +
36 +
48
-+
y
2
-
6y
+
9 =
12 +
4 +
q
d
L 2 2 3 (3)2 2
2 2
x -
4x +
4 +
y 26y + 9 =
25 =
400
=
10 =
5
12 VI
12 19
2
i X 2
(*- 2 +
(y -
3) =
25 x+
y2-
4x -
sy
-
12 =
0
((2,3); R =
5 A =
-
4;B =
-
6, =
-
72
EJEMPW!
*
ty-
8x +
y
-
40 =
0 x+
y+
4x +
by =
0
A
=
4:B =
6:C=
0
8
-
8x +
16
↓
+y
+
y I
R =
4
+
6-
4(0)
X +4 = 40 +
16+4
Y-
4s+ (y +2 =
60
12 =
5
((4;-2), R =
60 =
4.15 =
4.15=
2VE5
R =
2415
A
CENTNO
MY
(x +
5,4
(y +
3)
=
4
2
⑧ ⑧
5km A
3km
-* +
10x +
25+y+
xy +
9=
16
⑧ = >
5
x+y2 +10x +
6y
+
34-
96 =
0
L ④ >
↑
4/CM.
+y+10x +
6y +
16 =
0
o -
3
=4 (95,3)
Binomic as CrabreDO.
P
(a5b)*=
aE2ab +b
Ya
CIRCUNFERENCIL AGENTE
A "Y"
> CENTRO
Ec. Ordinaria ·Rapi
(4,2)
2.
El (X -h)
+
y-1) =
R2
40 -
4 X (x -
412 +
(y -
2=
42;(ab)=
azab+
b2
nu
-8x +
16ty2-
4+
y=
16
(X-
3) =
48 -
6x +
9
8 8 A
Met *+
y
- 8x -
ny
+
4 =
0
-
3X
DOBLE
T. NOTIBLE.
-
2
yd -
370
37 20
5K
MK X=
16
-
.!! 6,8)
1530
3K
116
153° 4
-Centro (6,6)
/
358 Anza= 4
R2 FORMELE EC:
No
Rabio=
6
/
ARE =
51612
* 58 -
Inea =
361 u (x-
h) +
(y -
x=
R2
10,0) 6 X
(x -
61 +
(y -
8)=
36
ya
(92,9)
- (x-
12)
+
y
-
q =
q2
2
q
~
IR
=
9
x -
24x +
144 +
y2-
10+
81=87
E I 370 I *
xxy2-24x-18y+
944 =0
I I
12
d z
Centro: (3;3)
I Ecuación
~ RaDi= 3
3
2 ((3,3) Ecuación Ordinaria
.
Ti (x-
h) +
(y
- x)2 =
2
3
*
x
(x -
3) +
y
-
3) =
32:(a-
b) =
a-
2ab +
b
x-
6x +
9ty2-
y
9=
9
Ecraow GENERd18 X2
ty2 -6x-
y
+
9 =
0
yd Cerrino:16,8(
&
DEDN =
4
84
=
R
(X-
612 +
(y -
f)=
42
84 x
2
-
12x +
36 +
y
2
-
16y
+
64 =
16
1530 I
I I x xy-12x-1sy +
84=0
6
T
anEd!
1
A x+
y
2
=
49
Arza?
2 *
y2- 6x
tay
-
144 =
0
CENTRO
Y
RADY
d
3
Ecracion GEN Enat
D
1379 E
D
I ⑧ I

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Circunferencia .pdf

  • 2. Cincratenencia 2.1. Garacion, anónica ~Defini Fo D C: + y = 2 Mill 0: CENTRO. FIEMPLO! C P Op: RADIO - · (0,0) - X x+ y = 5 ↳ A & ⑧ 13 AB:DIEMETRO: IR R= 5 8 CD:CrERDd P E EMR: E - 23 I ON: A POTEM. x+y- 64 = 0 - - MF:FLECH O SaGid 1 = 8 21 2.2. Ecracón Onpinania 2.Ecraciones d A c(hik) (x - h)+ (y - x) = R2 k E jencidos: -en hik I n -(x + 2) + (y - 5)= 49 E - n - (1- 2,3),R = 1 W
  • 3. EJEMPL: 2.3. EcracionGENERAL x+ y2- 4x - sy - 12 = 0 R= A l + B- 4 xty+ Ax + By + c= 0 2 x- 4x + 4 R= ( - 4)+1- 6p - 4)- 72) = 96 + 36 + 48 -+ y 2 - 6y + 9 = 12 + 4 + q d L 2 2 3 (3)2 2 2 2 x - 4x + 4 + y 26y + 9 = 25 = 400 = 10 = 5 12 VI 12 19 2 i X 2 (*- 2 + (y - 3) = 25 x+ y2- 4x - sy - 12 = 0 ((2,3); R = 5 A = - 4;B = - 6, = - 72 EJEMPW! * ty- 8x + y - 40 = 0 x+ y+ 4x + by = 0 A = 4:B = 6:C= 0 8 - 8x + 16 ↓ +y + y I R = 4 + 6- 4(0) X +4 = 40 + 16+4 Y- 4s+ (y +2 = 60 12 = 5 ((4;-2), R = 60 = 4.15 = 4.15= 2VE5 R = 2415
  • 4. A CENTNO MY (x + 5,4 (y + 3) = 4 2 ⑧ ⑧ 5km A 3km -* + 10x + 25+y+ xy + 9= 16 ⑧ = > 5 x+y2 +10x + 6y + 34- 96 = 0 L ④ > ↑ 4/CM. +y+10x + 6y + 16 = 0 o - 3 =4 (95,3) Binomic as CrabreDO. P (a5b)*= aE2ab +b
  • 5. Ya CIRCUNFERENCIL AGENTE A "Y" > CENTRO Ec. Ordinaria ·Rapi (4,2) 2. El (X -h) + y-1) = R2 40 - 4 X (x - 412 + (y - 2= 42;(ab)= azab+ b2 nu -8x + 16ty2- 4+ y= 16 (X- 3) = 48 - 6x + 9 8 8 A Met *+ y - 8x - ny + 4 = 0 - 3X DOBLE
  • 6. T. NOTIBLE. - 2 yd - 370 37 20 5K MK X= 16 - .!! 6,8) 1530 3K 116 153° 4 -Centro (6,6) / 358 Anza= 4 R2 FORMELE EC: No Rabio= 6 / ARE = 51612 * 58 - Inea = 361 u (x- h) + (y - x= R2 10,0) 6 X (x - 61 + (y - 8)= 36 ya (92,9) - (x- 12) + y - q = q2 2 q ~ IR = 9 x - 24x + 144 + y2- 10+ 81=87 E I 370 I * xxy2-24x-18y+ 944 =0 I I 12
  • 7. d z Centro: (3;3) I Ecuación ~ RaDi= 3 3 2 ((3,3) Ecuación Ordinaria . Ti (x- h) + (y - x)2 = 2 3 * x (x - 3) + y - 3) = 32:(a- b) = a- 2ab + b x- 6x + 9ty2- y 9= 9 Ecraow GENERd18 X2 ty2 -6x- y + 9 = 0 yd Cerrino:16,8( & DEDN = 4 84 = R (X- 612 + (y - f)= 42 84 x 2 - 12x + 36 + y 2 - 16y + 64 = 16 1530 I I I x xy-12x-1sy + 84=0 6
  • 8. T anEd! 1 A x+ y 2 = 49 Arza? 2 * y2- 6x tay - 144 = 0 CENTRO Y RADY d 3 Ecracion GEN Enat D 1379 E D I ⑧ I