domingo, 20 de febrero de 2011

Problemas de Circunferencia

1.-c (4, 5) r=4
2. - c (3, -2) r=5
3. - c (0, -1) r=2
4. - c (3, 0) r=1
5. - c (-1, -2) r=3
6. - c (-3/4, -2) r=6
7. - c (-4, -2) r=2                
8. - c (5, -1) r=1/2
9. - c (2, 1) r=√5
10. - c (-1/4, 7/5) r=7


1.-c (4, 5) r=4
(x-h)2+(y-k)2=r2
(x-4)2+ (y-5)2=42
(x-4)2+ (y-5)2=16
X2-8x+16+y2-10y+25=16
X2+y2-8x-10y +41-16=0
X2+y2-8x-10y -57=0





















2.- c (3, -2) r=5
(x-h)2+(y-k)2=r2
(x-3)2+(y+2)2=52
(x-3)2+(y+2)2=25
x2-6x+-9+y2+4y+4=25
x2+y2-6x+4y +13-25=0
x2+y2-6x+4y -12=0























3.- c (0, -1) r=2
(x-h)2+(y-k)2=r2
(x-0)2+(y+1)2=22
(x-0)2+(y+1)2=4
X2+y2+2y+1=4
X2+y2+2y+1-4=0
X2+y2+2y-3=0






















4.- c (3, 0) r=1
(x-h)2+(y-k)2=r2
(x+3)2+(y-0)2=12
(x+3)2+(y-0)2=1

X2+6x+9+y2=1
X2+y2+6x+9-1=0
X2+y2+6x+8=0
























5.- c (-1, -2) r=3
(x-h)2+(y-k)2=r2
(x+1)2+(y+2)2=32
(x+1)2+(y+2)2=9

X2+2x+1+y2+4y+4=9


X2+y2+2x+4y+5-9=0
X2+y2+2x+4y-4=0







 


















6.- c (-3/4, -2) r=6
(x-h)2+(y-k)2=r2
(x+3/4)2+(y+2)2=62
(x+3/4)2+(y+2)2=36
X2+6/4x+9/16+y2+4y+4=36
X2+y2+6/4x+4y+73/16-36/1=0
X2+y2+6/4x+4y+503/16=0

7.- c (-4, -2) r=2
(x-h)2+(y-k)2=r2
(x+4)2+(y+2)2=22
(x+4)2+(y+2)2=4

X2+8x+16+y2+4y+4=4
X2+y2+8x+4y+20-4=0
X2+y2+8x+4y+16=0






8.- c (5, -1) r=1/2
(x-h)2+(y-k)2=r2
(x-5)2+(y+1)2=.52
(x-5)2+(y+1)2=.25

x2-10x+25+y2+2y+1=25
x2+y2-10x+2y+26-.25=0

x2+y2-10x+2y+25.75=0




















 
9.- c (2, 1) r=√5
(x-h)2+(y-k)2=r2
2(x-2)2+(y-1)2=52
(x-2)2+(y-1)2=25

X2-2x+4+y2-2y+1=25
X2+y2-2x-2y+5-25=0
X2+y2-2x-2y-20=0

























10.- c (-1/4, 7/5) r=7
(x-h)2+(y-k)2=r2
(x+1/4)2+(y-7/5)2=72
(x+1/4)2+(y-7/5)2=49

x2+2/4x+1/16+y2-14/5y+49/25=49
x2+y2+2/4x-14/5y+319/150-49/1=0
x2+y2+2/4x-14/5-7031/150=0


 



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