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Problemas de Geometria populares

centro 9x^2+4y^2+36x-24y+36=0	`center` 9`x`²+4`y`²+36`x`−24`y`+36=0
vértices (x^2)/4-(y^2)/9 =1	`vertices` `x`²4 −`y`²9 =1
focos (x^2)/(169)+(y^2)/(25)=1	`foci` `x`²169 +`y`²25 =1
focos (x^2)/(16)-(y^2)/(36)=1	`foci` `x`²16 −`y`²36 =1
vértices (x^2)/(16)+(y^2)/(25)=1	`vertices` `x`²16 +`y`²25 =1
y^2-6y-4x+5=0	`y`²−6`y`−4`x`+5=0
vértices (x^2)/9-(y^2)/(16)=1	`vertices` `x`²9 −`y`²16 =1
centro 16x^2+9y^2=144	`center` 16`x`²+9`y`²=144
vértices f(x)=x^2+4x-1	`vertices` `f`(`x`)=`x`²+4`x`−1
(x-h)^2=4p(y-k)	(`x`−`h`)²=4`p`(`y`−`k`)
x^2+(y-1)^2=1	`x`²+(`y`−1)²=1
x=y^2+1	`x`=`y`²+1
focos (x^2)/(16)-(y^2)/(20)=1	`foci` `x`²16 −`y`²20 =1
focos 9x^2-4y^2-72x=0	`foci` 9`x`²−4`y`²−72`x`=0
vértices f(x)=2x^2-x-6	`vertices` `f`(`x`)=2`x`²−`x`−6
focos x^2-4y=0	`foci` `x`²−4`y`=0
eixos y^2=4x	`axis` `y`²=4`x`
3x^2+12x+4y^2-40y+100=0	3`x`²+12`x`+4`y`²−40`y`+100=0
(x+2)^2+(y-4)^2=25	(`x`+2)²+(`y`−4)²=25
vértices 9x^2-4y^2-72x=0	`vertices` 9`x`²−4`y`²−72`x`=0
vértices (x^2)/(36)-(y^2)/(64)=1	`vertices` `x`²36 −`y`²64 =1
9x^2-16y^2=144	9`x`²−16`y`²=144
2x^2+2y^2-12x+8y-24=0	2`x`²+2`y`²−12`x`+8`y`−24=0
focos ((x-5)^2}{25}+\frac{(y+3)^2)/9 =1	`foci` (`x`−5)²25 +(`y`+3)²9 =1
x^2+y^2=7	`x`²+`y`²=7
(x^2)/(a^2)+(y^2)/(a^2)=1	`x`²`a`² +`y`²`a`² =1
x^2=12y	`x`²=12`y`
(x^2)/(16)+(y^2)/(36)=1	`x`²16 +`y`²36 =1
vértices f(x)=2x^2+28x+105	`vertices` `f`(`x`)=2`x`²+28`x`+105
4x^2-9y^2-36=0	4`x`²−9`y`²−36=0
x^2=10y	`x`²=10`y`
y^2+2y+x=0	`y`²+2`y`+`x`=0
eixos (x^2)/9-(y^2)/(25)=1	`axis` `x`²9 −`y`²25 =1
focos (x^2}{16}+\frac{y^2)/4 =1	`foci` `x`²16 +`y`²4 =1
x^2+2y-6=0	`x`²+2`y`−6=0
4y^2-48x-20y=71	4`y`²−48`x`−20`y`=71
focos (y^2}{25}-\frac{x^2)/4 =1	`foci` `y`²25 −`x`²4 =1
vértices f(x)=x^2-6x+8	`vertices` `f`(`x`)=`x`²−6`x`+8
x^2-y^2=10(x-y)+1	`x`²−`y`²=10(`x`−`y`)+1
eixos (x^2)/(25)+(y^2)/(16)=1	`axis` `x`²25 +`y`²16 =1
F=(mv^2)/r	`F`=`mv`²`r`
circunferência (x-0)^2+(y-20)^2=400	`circumference` (`x`−0)²+(`y`−20)²=400
y^2=x^2-1	`y`²=`x`²−1
vértices 9x^2+16y^2=144	`vertices` 9`x`²+16`y`²=144
focos x^2=4y-2y^2	`foci` `x`²=4`y`−2`y`²
9x^2+9y^2+18x-18y+14=0	9`x`²+9`y`²+18`x`−18`y`+14=0
focos ((y+3)^2)/9-((x-2)^2)/(16)=1	`foci` (`y`+3)²9 −(`x`−2)²16 =1
4y^2+48x-20y=71	4`y`²+48`x`−20`y`=71
y^2+4x=0	`y`²+4`x`=0
focos y^2=-9x	`foci` `y`²=−9`x`
radio x^2+y^2=36	`radius` `x`²+`y`²=36
focos y=x^2	`foci` `y`=`x`²
vértices y^2=-12x	`vertices` `y`²=−12`x`
focos x^2-y^2=25	`foci` `x`²−`y`²=25
centro x^2+y^2+6x-4y+3=0	`center` `x`²+`y`²+6`x`−4`y`+3=0
y^2=-1/4 x	`y`²=−14 `x`
vértices f(x)=x^2-8x+7	`vertices` `f`(`x`)=`x`²−8`x`+7
diretriz y^2=16x	`directrix` `y`²=16`x`
focos (x^2)/9-(y^2)/(25)=1	`foci` `x`²9 −`y`²25 =1
diretriz y^2=-24x	`directrix` `y`²=−24`x`
y^2=x	`y`²=`x`
vértices (x^2)/(16)-(y^2)/(20)=1	`vertices` `x`²16 −`y`²20 =1
x^2=24y	`x`²=24`y`
3x^2+3x+2y=0	3`x`²+3`x`+2`y`=0
x^2+y^2-2x+4y+1=0	`x`²+`y`²−2`x`+4`y`+1=0
vértices 4x^2+y^2=16	`vertices` 4`x`²+`y`²=16
y^2=x-2	`y`²=`x`−2
excentricidade x^2-y^2=14	`eccentricity` `x`²−`y`²=14
x=4-y^2	`x`=4−`y`²
y^2=x+9	`y`²=`x`+9
x^2+y^2-2x+6y-15=0	`x`²+`y`²−2`x`+6`y`−15=0
diretriz y^2=-12x	`directrix` `y`²=−12`x`
(x+92)^2+(y+54)^2=73	(`x`+92)²+(`y`+54)²=73
x^2-4x+y^2-2y=-2	`x`²−4`x`+`y`²−2`y`=−2
(x^2)/4+(y^2)/(64)=1	`x`²4 +`y`²64 =1
focos ((x-7)^2)/4+((y+3)^2)/(16)=1	`foci` (`x`−7)²4 +(`y`+3)²16 =1
(x^2)/(64)+(y^2)/(100)=1	`x`²64 +`y`²100 =1
y^2=1-x	`y`²=1−`x`
x^2+y^2+4y-60=0	`x`²+`y`²+4`y`−60=0
diretriz y^2=-28x	`directrix` `y`²=−28`x`
vértices f(x)=x^2+x-6	`vertices` `f`(`x`)=`x`²+`x`−6
36x^2+5y^2-90y-495=0	36`x`²+5`y`²−90`y`−495=0
(x^2)/9+(y^2)/5 =1	`x`²9 +`y`²5 =1
x^2+9y^2=9	`x`²+9`y`²=9
vértices f(x)=x^2+4x-12	`vertices` `f`(`x`)=`x`²+4`x`−12
x^2-10x+y^2+6y-1=0	`x`²−10`x`+`y`²+6`y`−1=0
x=-8y^2	`x`=−8`y`²
(x-5)^2+(y-9)^2=4	(`x`−5)²+(`y`−9)²=4
focos y^2=-14x	`foci` `y`²=−14`x`
x^2+y^2-2x=0	`x`²+`y`²−2`x`=0
centro x^2+y^2-18x-14y+124=0	`center` `x`²+`y`²−18`x`−14`y`+124=0
y^2+4y+8x-12=0	`y`²+4`y`+8`x`−12=0
excentricidade 13x^2+49y^2=637	`eccentricity` 13`x`²+49`y`²=637
vértices 4x^2+9y^2=36	`vertices` 4`x`²+9`y`²=36
vértices x^2+(y^2)/(16)=1	`vertices` `x`²+`y`²16 =1
y^2+2x^2=1	`y`²+2`x`²=1
assíntotas ((y+3)^2)/9-((x-2)^2)/(16)=1	`asymptotes` (`y`+3)²9 −(`x`−2)²16 =1
y^2-10y-12x+37=0	`y`²−10`y`−12`x`+37=0
(x^2)/(a^2)-(y^2)/(b^2)=1	`x`²`a`² −`y`²`b`² =1
vértices f(x)=x^2-2x	`vertices` `f`(`x`)=`x`²−2`x`

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