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Popular Geometry Problems
x^2+y^2-6x+5=0
x^{2}+y^{2}-6x+5=0
y^2=x+2
y^{2}=x+2
x^2+2y^2=2
x^{2}+2y^{2}=2
vertices f(x)=x^2-4x
vertices\:f(x)=x^{2}-4x
2y^2+x+20y+51=0
2y^{2}+x+20y+51=0
foci 9x^2-4y^2=36
foci\:9x^{2}-4y^{2}=36
x^2+y^2<9
x^{2}+y^{2}<9
(x^2}{64}+\frac{y^2)/4 =1
\frac{x^{2}}{64}+\frac{y^{2}}{4}=1
(y-2)^2=(x-1)^2+(y+4)^2
(y-2)^{2}=(x-1)^{2}+(y+4)^{2}
x^2+2x+y^2=8
x^{2}+2x+y^{2}=8
vertices (y^2}{16}-\frac{x^2)/9 =1
vertices\:\frac{y^{2}}{16}-\frac{x^{2}}{9}=1
asymptotes of 4x^2-9y^2=36
asymptotes\:4x^{2}-9y^{2}=36
9y^2-4x^2=36
9y^{2}-4x^{2}=36
(x^2)/(144)-(y^2)/(25)=1
\frac{x^{2}}{144}-\frac{y^{2}}{25}=1
vertices f(x)=2x^2
vertices\:f(x)=2x^{2}
center x^2+y^2+8x+4y-3=40
center\:x^{2}+y^{2}+8x+4y-3=40
(x-1)^2=-4(y-2)
(x-1)^{2}=-4(y-2)
foci (x^2}{16}-\frac{y^2)/4 =1
foci\:\frac{x^{2}}{16}-\frac{y^{2}}{4}=1
foci x^2+(y^2)/(49)=1
foci\:x^{2}+\frac{y^{2}}{49}=1
(x^2)/4-(y^2)/(25)=1
\frac{x^{2}}{4}-\frac{y^{2}}{25}=1
vertices y^2=16x
vertices\:y^{2}=16x
vertices (x^2)/(16)-(y^2)/(25)=1
vertices\:\frac{x^{2}}{16}-\frac{y^{2}}{25}=1
(x^2)/(a^2)+(y^2)/(b^2)=1
\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1
foci (x^2)/7-(y^2)/2 =1
foci\:\frac{x^{2}}{7}-\frac{y^{2}}{2}=1
x^2+y^2+12x-12y+36=0
x^{2}+y^{2}+12x-12y+36=0
x^2+y^2=18
x^{2}+y^{2}=18
foci (y^2}{64}-\frac{x^2)/9 =1
foci\:\frac{y^{2}}{64}-\frac{x^{2}}{9}=1
x^2-12y-6x+5=0
x^{2}-12y-6x+5=0
x^2+y^2=64
x^{2}+y^{2}=64
directrix x^2=-36y
directrix\:x^{2}=-36y
y^2=20x
y^{2}=20x
directrix x^2+8y=0
directrix\:x^{2}+8y=0
vertices (x^2)/(16)-(y^2)/(36)=1
vertices\:\frac{x^{2}}{16}-\frac{y^{2}}{36}=1
vertices (x+2)^2+((y+4)^2)/(1/4)=1
vertices\:(x+2)^{2}+\frac{(y+4)^{2}}{\frac{1}{4}}=1
foci (x^2)/(25)+(y^2)/(16)=1
foci\:\frac{x^{2}}{25}+\frac{y^{2}}{16}=1
foci (x^2}{16}+\frac{y^2)/7 =1
foci\:\frac{x^{2}}{16}+\frac{y^{2}}{7}=1
foci x=-5y^2
foci\:x=-5y^{2}
eccentricity 9x^2+16y^2-72x+64y-368=0
eccentricity\:9x^{2}+16y^{2}-72x+64y-368=0
y^2=-16x
y^{2}=-16x
foci y^2=-16x
foci\:y^{2}=-16x
asymptotes of (x^2)/9-(y^2)/4 =1
asymptotes\:\frac{x^{2}}{9}-\frac{y^{2}}{4}=1
vertices f(x)=-3x^2+12x-8
vertices\:f(x)=-3x^{2}+12x-8
vertices 9x^2+y^2=9
vertices\:9x^{2}+y^{2}=9
directrix y=x^2
directrix\:y=x^{2}
foci x^2=2y
foci\:x^{2}=2y
x=y^2
x=y^{2}
1=x^2+y^2
1=x^{2}+y^{2}
vertices x^2=-4y
vertices\:x^{2}=-4y
x^2-y^2=9
x^{2}-y^{2}=9
x^2+y^2+4x-6y+12=0
x^{2}+y^{2}+4x-6y+12=0
directrix x^2=16y
directrix\:x^{2}=16y
vertices f(x)=-x^2+6x+7
vertices\:f(x)=-x^{2}+6x+7
-(x^2)/(a^2)+(y^2)/(b^2)=1
-\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1
asymptotes of (x^2}{16}-\frac{y^2)/4 =1
asymptotes\:\frac{x^{2}}{16}-\frac{y^{2}}{4}=1
-1/3 (x-3)=(y+5)^2
-\frac{1}{3}(x-3)=(y+5)^{2}
solvefor y,x^2-y^2=0
solvefor\:y,x^{2}-y^{2}=0
25x^2+9y^2-100x+18y-116=0
25x^{2}+9y^{2}-100x+18y-116=0
(x-1)^2+(y-2)^2=4
(x-1)^{2}+(y-2)^{2}=4
directrix y^2=-36x
directrix\:y^{2}=-36x
x^2+4y^2=36
x^{2}+4y^{2}=36
solvefor y,x^2-6x+9-4y^2=0
solvefor\:y,x^{2}-6x+9-4y^{2}=0
y^2+x^2=25
y^{2}+x^{2}=25
foci (x^2)/(144)+(y^2)/(169)=1
foci\:\frac{x^{2}}{144}+\frac{y^{2}}{169}=1
foci (x^2}{49}-\frac{y^2)/9 =1
foci\:\frac{x^{2}}{49}-\frac{y^{2}}{9}=1
x^2+y=0
x^{2}+y=0
x^2-4y^2=4
x^{2}-4y^{2}=4
4x^2-12x-16y+41=0
4x^{2}-12x-16y+41=0
2y^2-8x-24y+56=0
2y^{2}-8x-24y+56=0
((x-30)^2)/(30)-((y-200)^2)/(50)=3
\frac{(x-30)^{2}}{30}-\frac{(y-200)^{2}}{50}=3
(x-2)^2+y^2=16
(x-2)^{2}+y^{2}=16
(x^2)/(36)+(y^2)/(16)=1
\frac{x^{2}}{36}+\frac{y^{2}}{16}=1
x^2+y^2-12y+32=0
x^{2}+y^{2}-12y+32=0
9(y-2)^2-4x^2=36
9(y-2)^{2}-4x^{2}=36
foci x^2+9y^2=9
foci\:x^{2}+9y^{2}=9
vertices (x^2)/(49)-(y^2)/(16)=1
vertices\:\frac{x^{2}}{49}-\frac{y^{2}}{16}=1
foci (x^2}{16}+\frac{y^2)/9 =1
foci\:\frac{x^{2}}{16}+\frac{y^{2}}{9}=1
x=-1/8 y^2
x=-\frac{1}{8}y^{2}
y^2=-32x
y^{2}=-32x
x^2-6x+5y=-34
x^{2}-6x+5y=-34
x=-3y^2
x=-3y^{2}
9x^2-4y^2=36
9x^{2}-4y^{2}=36
x^2+y^2+6x-4y+3=0
x^{2}+y^{2}+6x-4y+3=0
vertices f(x)=3x^2-12x+8
vertices\:f(x)=3x^{2}-12x+8
x^2+y^2+4x-2y=-1
x^{2}+y^{2}+4x-2y=-1
foci (x^2)/(49)+(y^2)/(16)=1
foci\:\frac{x^{2}}{49}+\frac{y^{2}}{16}=1
9x^2+16y^2-144=0
9x^{2}+16y^{2}-144=0
x^2+y^2=49
x^{2}+y^{2}=49
vertices f(x)=x^2-1
vertices\:f(x)=x^{2}-1
36x^2+36y^2-12x-27y-8=0
36x^{2}+36y^{2}-12x-27y-8=0
foci y^2=2x
foci\:y^{2}=2x
directrix y^2-3y-x+3=0
directrix\:y^{2}-3y-x+3=0
(x^2)/4-(y^2)/9 =1
\frac{x^{2}}{4}-\frac{y^{2}}{9}=1
y^2+x+y=0
y^{2}+x+y=0
foci x^2=28y
foci\:x^{2}=28y
axis y=2-x-2x^2
axis\:y=2-x-2x^{2}
foci (x^2)/8+(y^2)/3 =1
foci\:\frac{x^{2}}{8}+\frac{y^{2}}{3}=1
vertices f(x)=x^2+6x+5
vertices\:f(x)=x^{2}+6x+5
4x^2-12y^2-16x-72y-44=0
4x^{2}-12y^{2}-16x-72y-44=0
directrix y^2=-2x
directrix\:y^{2}=-2x
(x-2)^2+(y-3)^2=64
(x-2)^{2}+(y-3)^{2}=64
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