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Popular Geometry Problems
foci 4x^2+y^2=16
foci\:4x^{2}+y^{2}=16
4x^2-25y^2+100y=200
4x^{2}-25y^{2}+100y=200
asymptotes of 16x^2-9y^2=144
asymptotes\:16x^{2}-9y^{2}=144
vertices f(x)=x^2-3
vertices\:f(x)=x^{2}-3
x^2+20x+y^2+16y=-20
x^{2}+20x+y^{2}+16y=-20
asymptotes of (x^2)/(64)-(y^2)/(36)=1
asymptotes\:\frac{x^{2}}{64}-\frac{y^{2}}{36}=1
x^2+y^2-6x+2y+9=0
x^{2}+y^{2}-6x+2y+9=0
(x^2)/(144)+(y^2)/(169)=1
\frac{x^{2}}{144}+\frac{y^{2}}{169}=1
vertices y=x^2-24x-12
vertices\:y=x^{2}-24x-12
y^2=-9x
y^{2}=-9x
x=4y^2
x=4y^{2}
(x^2)/(36)+(y^2)/(49)=1
\frac{x^{2}}{36}+\frac{y^{2}}{49}=1
y^2=-10x
y^{2}=-10x
vertices f(x)=x^2-6x+5
vertices\:f(x)=x^{2}-6x+5
foci (x^2)/(49)-(y^2)/(16)=1
foci\:\frac{x^{2}}{49}-\frac{y^{2}}{16}=1
directrix y^2=20x
directrix\:y^{2}=20x
axis 5x^2+30x+24y=51
axis\:5x^{2}+30x+24y=51
vertices f(x)=(x-3)^2
vertices\:f(x)=(x-3)^{2}
x^2-y^2=3
x^{2}-y^{2}=3
x=y^2-4
x=y^{2}-4
-x^2+9y^2+4x+54y+68=0
-x^{2}+9y^{2}+4x+54y+68=0
axis y=-x^2-6x-5
axis\:y=-x^{2}-6x-5
center x^2+y^2-14x+2y+41=0
center\:x^{2}+y^{2}-14x+2y+41=0
25x^2-10x-200y-119=0
25x^{2}-10x-200y-119=0
y^2=-8x
y^{2}=-8x
center 9x^2+4y^2=36
center\:9x^{2}+4y^{2}=36
vertices f(x)=x^2+2x
vertices\:f(x)=x^{2}+2x
vertices f(x)=x^2+5x+6
vertices\:f(x)=x^{2}+5x+6
(x^2}{16}+\frac{y^2)/7 =1
\frac{x^{2}}{16}+\frac{y^{2}}{7}=1
2x^2+2y^2-2x-2y-3=0
2x^{2}+2y^{2}-2x-2y-3=0
4x^2+3y^2+8x-24y+51=0
4x^{2}+3y^{2}+8x-24y+51=0
2x^2+y^2=2
2x^{2}+y^{2}=2
directrix y=-4x^2
directrix\:y=-4x^{2}
vertices (x^2}{25}-\frac{y^2)/9 =1
vertices\:\frac{x^{2}}{25}-\frac{y^{2}}{9}=1
x^2+y^2+4x-18y+81=0
x^{2}+y^{2}+4x-18y+81=0
x^2-12x+16y+68=0
x^{2}-12x+16y+68=0
10x^2+4y^2+2x+16y=144
10x^{2}+4y^{2}+2x+16y=144
x=y^2-1
x=y^{2}-1
eccentricity 9x^2+9y^2+18x-18y+14=0
eccentricity\:9x^{2}+9y^{2}+18x-18y+14=0
x^2+y^2-25=0
x^{2}+y^{2}-25=0
vertices 9x^2-4y^2-90x-32y=-305
vertices\:9x^{2}-4y^{2}-90x-32y=-305
foci 9x^2-y^2-36x-6y+18=0
foci\:9x^{2}-y^{2}-36x-6y+18=0
x^2+y^2-4x+8y-5=0
x^{2}+y^{2}-4x+8y-5=0
foci x=-1/8 y^2
foci\:x=-\frac{1}{8}y^{2}
foci x^2-y^2=6
foci\:x^{2}-y^{2}=6
y^2-4x+4y-4=0
y^{2}-4x+4y-4=0
vertices (x^2)/(64)+(y^2)/(36)=1
vertices\:\frac{x^{2}}{64}+\frac{y^{2}}{36}=1
foci x=2y^2
foci\:x=2y^{2}
vertices f(x)=x^2+4
vertices\:f(x)=x^{2}+4
vertices f(x)=-x^2
vertices\:f(x)=-x^{2}
vertices (x^2)/(169)+(y^2)/(25)=1
vertices\:\frac{x^{2}}{169}+\frac{y^{2}}{25}=1
16x^2+25y^2=400
16x^{2}+25y^{2}=400
x^2+y^2-2x-6y-15=0
x^{2}+y^{2}-2x-6y-15=0
vertices f(x)=x^2+6x+8
vertices\:f(x)=x^{2}+6x+8
x^2+16y^2=16
x^{2}+16y^{2}=16
x^2-y^2=4
x^{2}-y^{2}=4
x^2+y=1
x^{2}+y=1
x^2+y^2<= 25
x^{2}+y^{2}\le\:25
16x^2+16y^2+32x+8y=47
16x^{2}+16y^{2}+32x+8y=47
x^2-y^2=49
x^{2}-y^{2}=49
y-x>-x^2-1
y-x>-x^{2}-1
asymptotes of ((y+1)^2)/4-(x-5)^2=4
asymptotes\:\frac{(y+1)^{2}}{4}-(x-5)^{2}=4
vertices x^2=20y
vertices\:x^{2}=20y
vertices x^2=4y-2y^2
vertices\:x^{2}=4y-2y^{2}
foci (x^2)/(36)+(y^2)/(25)=1
foci\:\frac{x^{2}}{36}+\frac{y^{2}}{25}=1
x^2-4y^2-2x+16y=20
x^{2}-4y^{2}-2x+16y=20
y^2-4y-8x-12=0
y^{2}-4y-8x-12=0
directrix x^2=24y
directrix\:x^{2}=24y
directrix y^2+12x+4y-32=0
directrix\:y^{2}+12x+4y-32=0
(x^2)/4-y^2=1
\frac{x^{2}}{4}-y^{2}=1
x=2y^2
x=2y^{2}
9x^2-54x+25y^2-200y=-256
9x^{2}-54x+25y^{2}-200y=-256
asymptotes of (x^2)/4-(y^2)/9 =1
asymptotes\:\frac{x^{2}}{4}-\frac{y^{2}}{9}=1
asymptotes of (x^2)/9-(y^2)/(16)=1
asymptotes\:\frac{x^{2}}{9}-\frac{y^{2}}{16}=1
directrix y^2=8x
directrix\:y^{2}=8x
-9x^2+4y^2-36x-16y-164=0
-9x^{2}+4y^{2}-36x-16y-164=0
(x^2)/9+(y^2)/(25)=1
\frac{x^{2}}{9}+\frac{y^{2}}{25}=1
vertices ((y-2)^2)/9-((x-1)^2)/(16)=1
vertices\:\frac{(y-2)^{2}}{9}-\frac{(x-1)^{2}}{16}=1
foci (x^2)/(25)+(y^2)/(49)=1
foci\:\frac{x^{2}}{25}+\frac{y^{2}}{49}=1
vertices 9x^2-4y^2=36
vertices\:9x^{2}-4y^{2}=36
(x^2)/(16)+(y^2)/(25)=1
\frac{x^{2}}{16}+\frac{y^{2}}{25}=1
area (x^2)/(a^2)+(y^2)/(b^2)=1
area\:\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1
foci x^2=-12y
foci\:x^{2}=-12y
(x^2}{16}-\frac{y^2)/9 =1
\frac{x^{2}}{16}-\frac{y^{2}}{9}=1
vertices f(x)=x^2-2x+1
vertices\:f(x)=x^{2}-2x+1
eccentricity x^2-y^2=4
eccentricity\:x^{2}-y^{2}=4
(x^2)/(169)+(y^2)/(25)=1
\frac{x^{2}}{169}+\frac{y^{2}}{25}=1
x^2+y^2+6x+2y+6=0
x^{2}+y^{2}+6x+2y+6=0
(y^2)/(16)-(x^2)/(25)=1
\frac{y^{2}}{16}-\frac{x^{2}}{25}=1
vertices (y^2)/9-(x^2)/(16)=1
vertices\:\frac{y^{2}}{9}-\frac{x^{2}}{16}=1
x^2+y^2-4x+10y+13=0
x^{2}+y^{2}-4x+10y+13=0
foci 2x^2+7y^2=14
foci\:2x^{2}+7y^{2}=14
9(x-1)^2-16(y+2)^2=144
9(x-1)^{2}-16(y+2)^{2}=144
vertices f(x)=-x^2-4x-3
vertices\:f(x)=-x^{2}-4x-3
vertices 9x^2+4y^2+36x-24y+36=0
vertices\:9x^{2}+4y^{2}+36x-24y+36=0
4x^2+y^2=4
4x^{2}+y^{2}=4
asymptotes of 9x^2-4y^2-72x=0
asymptotes\:9x^{2}-4y^{2}-72x=0
9x^2-16y^2+36x+32y-124=0
9x^{2}-16y^{2}+36x+32y-124=0
x^2=4y
x^{2}=4y
vertices x^2=16y
vertices\:x^{2}=16y
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