x - y +3 = 0...=> A=1....B=-1...C=3
2, 2..............=> x1=2...y1=2
r =A.x1+B.y1+C / V(A²+B²)
r =1.2 +(-1).2 +3 / V1²+(-1)²
r = 2 -2 +3/V2
r = 3/V2 .....=> r² =(3/V2)² = 9/2
(x-a)²+(y-b)²=r².......C(2,2) => a=2...b=2
(x-2)²+(y-2)²= 9/2... => reduzida #
(x-2)²+(y-2)² = r²
distância do centro da até a reta = raio
x-y+3=0
C(2,2)
xo=2
yo=2
a=1
b=-1
c=3
d=|axo+byo+c|/√a²+b²
d=|axo+byo+c|/√2
d=|2-2+3|/√2
d=3/√2
d=3√2/2
(x-2)²+(y-2)²=[(3√2)/2]²
(x-2)²+(y-2)²=(9√4)/4]
(x-2)²+(y-2)²=18/4
(x-2)²+(y-2)²=9/2 #
geral é:
x²-4x+4+y²-4y+4=9/2
x²+y²-4x-4y+4+4=9/2
x²+y²-4x-4y+8=9/2
x²+y²-4x-4y+8-9/2=0
x²+y²-4x-4y+16/2-9/2=0
x²+y²-4x-4y+7/2=0 (geral)
r: x-y+3=0 =>mr=1
ms*mr=-1 ==>ms=-1
-1=(y-2)/(x-2) ==>-x+2=y-2
s: x+y-4=0
Intersecção entre r e s
x+y-4=0
x=1/2 ==>y=7/2
(1/2-2)²+(7/2-2)²=r²
9/4+9/4=r²
9/2=r²
(x-2)²+(y-2)²=9/2
Ola Ana
(x - 2)² + (y - 2)² = r²
a distancia do centro à reta é igual a r
r = ¦A*xc + B*yc + C¦/√(A² + B²)
A = 1
B = -1
C = 3
xc = 2
yc = 2
r = ¦2 - 2 + 3¦/√(1² + (-1)²)
r = 3/√2 = 3√2/2
r² = 9/2
(x - 2)² + (y - 2)² = 9/2
grafico http://www.wolframalpha.com/input/?i=%28x+-+2%29%C...
pronto
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Answers & Comments
x - y +3 = 0...=> A=1....B=-1...C=3
2, 2..............=> x1=2...y1=2
r =A.x1+B.y1+C / V(A²+B²)
r =1.2 +(-1).2 +3 / V1²+(-1)²
r = 2 -2 +3/V2
r = 3/V2 .....=> r² =(3/V2)² = 9/2
(x-a)²+(y-b)²=r².......C(2,2) => a=2...b=2
(x-2)²+(y-2)²= 9/2... => reduzida #
(x-2)²+(y-2)² = r²
distância do centro da até a reta = raio
x-y+3=0
C(2,2)
xo=2
yo=2
a=1
b=-1
c=3
d=|axo+byo+c|/√a²+b²
d=|axo+byo+c|/√2
d=|2-2+3|/√2
d=3/√2
d=3√2/2
(x-2)²+(y-2)²=[(3√2)/2]²
(x-2)²+(y-2)²=(9√4)/4]
(x-2)²+(y-2)²=18/4
(x-2)²+(y-2)²=9/2 #
geral é:
x²-4x+4+y²-4y+4=9/2
x²+y²-4x-4y+4+4=9/2
x²+y²-4x-4y+8=9/2
x²+y²-4x-4y+8-9/2=0
x²+y²-4x-4y+16/2-9/2=0
x²+y²-4x-4y+7/2=0 (geral)
r: x-y+3=0 =>mr=1
ms*mr=-1 ==>ms=-1
-1=(y-2)/(x-2) ==>-x+2=y-2
s: x+y-4=0
Intersecção entre r e s
x-y+3=0
x+y-4=0
x=1/2 ==>y=7/2
(1/2-2)²+(7/2-2)²=r²
9/4+9/4=r²
9/2=r²
(x-2)²+(y-2)²=9/2
Ola Ana
(x - 2)² + (y - 2)² = r²
a distancia do centro à reta é igual a r
r = ¦A*xc + B*yc + C¦/√(A² + B²)
A = 1
B = -1
C = 3
xc = 2
yc = 2
r = ¦A*xc + B*yc + C¦/√(A² + B²)
r = ¦2 - 2 + 3¦/√(1² + (-1)²)
r = 3/√2 = 3√2/2
r² = 9/2
(x - 2)² + (y - 2)² = 9/2
grafico http://www.wolframalpha.com/input/?i=%28x+-+2%29%C...
pronto