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Popular Geometry Problems
(x^2)/(144)+(y^2)/(169)=1
\frac{x^{2}}{144}+\frac{y^{2}}{169}=1
4x^2-25y^2+100y=200
4x^{2}-25y^{2}+100y=200
vertices f(x)=x^2-3
vertices\:f(x)=x^{2}-3
asymptotes of 16x^2-9y^2=144
asymptotes\:16x^{2}-9y^{2}=144
y^2=-9x
y^{2}=-9x
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
foci 4x^2+y^2=16
foci\:4x^{2}+y^{2}=16
vertices y=x^2-24x-12
vertices\:y=x^{2}-24x-12
x=4y^2
x=4y^{2}
(x^2)/(36)+(y^2)/(49)=1
\frac{x^{2}}{36}+\frac{y^{2}}{49}=1
y^2=-6x
y^{2}=-6x
y^2-4x+4y-4=0
y^{2}-4x+4y-4=0
foci (x^2)/(49)-(y^2)/(16)=1
foci\:\frac{x^{2}}{49}-\frac{y^{2}}{16}=1
16x^2+25y^2=400
16x^{2}+25y^{2}=400
foci (x^2}{25}+\frac{y^2)/9 =1
foci\:\frac{x^{2}}{25}+\frac{y^{2}}{9}=1
vertices 9x^2-4y^2=36
vertices\:9x^{2}-4y^{2}=36
foci (x^2)/4-(y^2)/(16)=1
foci\:\frac{x^{2}}{4}-\frac{y^{2}}{16}=1
x^2-y^2=3
x^{2}-y^{2}=3
9x^2+4y^2-18x+16y-11=0
9x^{2}+4y^{2}-18x+16y-11=0
x^2+16y^2=16
x^{2}+16y^{2}=16
vertices f(x)=x^2-2x+1
vertices\:f(x)=x^{2}-2x+1
y^2=-10x
y^{2}=-10x
vertices f(x)=x^2-6x+5
vertices\:f(x)=x^{2}-6x+5
(x^2}{16}+\frac{y^2)/7 =1
\frac{x^{2}}{16}+\frac{y^{2}}{7}=1
x^2+y=1
x^{2}+y=1
x=y^2-3
x=y^{2}-3
x^2-y^2=49
x^{2}-y^{2}=49
foci (y^2)/(49)-(x^2)/(25)=1
foci\:\frac{y^{2}}{49}-\frac{x^{2}}{25}=1
9x^2-4y^2-72x=0
9x^{2}-4y^{2}-72x=0
x^2+y^2+6x+2y+6=0
x^{2}+y^{2}+6x+2y+6=0
(x^2)/(100)+(y^2)/(36)=1
\frac{x^{2}}{100}+\frac{y^{2}}{36}=1
4x^2-y^2=16
4x^{2}-y^{2}=16
x^2+2y^2-2x+8y+5=0
x^{2}+2y^{2}-2x+8y+5=0
(x-1)^2+(y-1)^2=2
(x-1)^{2}+(y-1)^{2}=2
x^2+y^2=5
x^{2}+y^{2}=5
(x^2}{36}-\frac{y^2)/4 =1
\frac{x^{2}}{36}-\frac{y^{2}}{4}=1
axis 5x^2+30x+24y=51
axis\:5x^{2}+30x+24y=51
y^2-12y-4x+28=0
y^{2}-12y-4x+28=0
directrix y^2=20x
directrix\:y^{2}=20x
x^2+y^2+4x-18y+81=0
x^{2}+y^{2}+4x-18y+81=0
vertices x^2=20y
vertices\:x^{2}=20y
y^2=16x
y^{2}=16x
y^2=-24x
y^{2}=-24x
9x^2-16y^2+36x+32y-124=0
9x^{2}-16y^{2}+36x+32y-124=0
4x^2+4y^2+36y+5=0
4x^{2}+4y^{2}+36y+5=0
foci x^2+(y^2)/(64)=1
foci\:x^{2}+\frac{y^{2}}{64}=1
(x^2)/9+(y^2)/9 =1
\frac{x^{2}}{9}+\frac{y^{2}}{9}=1
x=y^2-1
x=y^{2}-1
((x-3)^2)/(81)-((y+5)^2)/(144)=1
\frac{(x-3)^{2}}{81}-\frac{(y+5)^{2}}{144}=1
foci x= 1/4 y^2
foci\:x=\frac{1}{4}y^{2}
x^2+y^2-4y=0
x^{2}+y^{2}-4y=0
foci x^2=-8y
foci\:x^{2}=-8y
vertices f(x)=(x-3)^2
vertices\:f(x)=(x-3)^{2}
x^2+9y^2+6x-90y+225=0
x^{2}+9y^{2}+6x-90y+225=0
foci x^2=-4y
foci\:x^{2}=-4y
x^2+y^2+10x+12y+25=0
x^{2}+y^{2}+10x+12y+25=0
vertices x^2=16y
vertices\:x^{2}=16y
directrix y^2=-10x
directrix\:y^{2}=-10x
eccentricity (x^2)/(25)+(y^2)/(25)=1
eccentricity\:\frac{x^{2}}{25}+\frac{y^{2}}{25}=1
vertices f(x)=x^2-4
vertices\:f(x)=x^{2}-4
-x^2+9y^2+4x+54y+68=0
-x^{2}+9y^{2}+4x+54y+68=0
directrix x=-1/8 y^2
directrix\:x=-\frac{1}{8}y^{2}
asymptotes of 4x^2-y^2=16
asymptotes\:4x^{2}-y^{2}=16
x^2+y^2-4x-4y=0
x^{2}+y^{2}-4x-4y=0
x^2=-4y
x^{2}=-4y
eccentricity (x^2}{25}+\frac{y^2)/9 =1
eccentricity\:\frac{x^{2}}{25}+\frac{y^{2}}{9}=1
x=y^2-4
x=y^{2}-4
foci ((x-5)^2)/4+((y+3)^2)/(16)=1
foci\:\frac{(x-5)^{2}}{4}+\frac{(y+3)^{2}}{16}=1
(x-2)^2=8y
(x-2)^{2}=8y
vertices y=2-x-2x^2
vertices\:y=2-x-2x^{2}
(x^2}{36}+\frac{y^2)/9 =1
\frac{x^{2}}{36}+\frac{y^{2}}{9}=1
center x^2+y^2-14x+2y+41=0
center\:x^{2}+y^{2}-14x+2y+41=0
vertices y=x^2+3
vertices\:y=x^{2}+3
foci ((x+2)^2)/9+((y-3)^2)/(16)=1
foci\:\frac{(x+2)^{2}}{9}+\frac{(y-3)^{2}}{16}=1
(x^2)/(64)+(y^2)/(16)=1
\frac{x^{2}}{64}+\frac{y^{2}}{16}=1
asymptotes of (x^2)/(36)-(y^2)/(64)=1
asymptotes\:\frac{x^{2}}{36}-\frac{y^{2}}{64}=1
x^2+y^2-25=0
x^{2}+y^{2}-25=0
vertices (x^2)/7+(y^2)/(16)=1
vertices\:\frac{x^{2}}{7}+\frac{y^{2}}{16}=1
foci (x^2)/(16)+(y^2)/(25)=1
foci\:\frac{x^{2}}{16}+\frac{y^{2}}{25}=1
foci x^2-y^2=14
foci\:x^{2}-y^{2}=14
(x^2)/4+(y^2)/(16)=1
\frac{x^{2}}{4}+\frac{y^{2}}{16}=1
16x^2+192x+576+25y^2=1600
16x^{2}+192x+576+25y^{2}=1600
x^2+y^2-10x-10y+25=0
x^{2}+y^{2}-10x-10y+25=0
x^2-y^2=1
x^{2}-y^{2}=1
center x^2+y^2-32x-60y+1122=0
center\:x^{2}+y^{2}-32x-60y+1122=0
directrix x^2
directrix\:x^{2}
foci (x^2}{36}+\frac{y^2)/9 =1
foci\:\frac{x^{2}}{36}+\frac{y^{2}}{9}=1
directrix x^2-4y=0
directrix\:x^{2}-4y=0
foci ((x-4)^2}{36}-\frac{(y-2)^2)/9 =1
foci\:\frac{(x-4)^{2}}{36}-\frac{(y-2)^{2}}{9}=1
vertices x^2=4y-2y^2
vertices\:x^{2}=4y-2y^{2}
x=(y-5)^2
x=(y-5)^{2}
(x-2)^2=12(y+3)
(x-2)^{2}=12(y+3)
(y-2)^2=12(x+1)
(y-2)^{2}=12(x+1)
vertices f(x)=x^2+2x
vertices\:f(x)=x^{2}+2x
vertices (x^2)/(64)+(y^2)/(16)=1
vertices\:\frac{x^{2}}{64}+\frac{y^{2}}{16}=1
foci 2x^2+y^2=2
foci\:2x^{2}+y^{2}=2
y^2+6y+9=x+8
y^{2}+6y+9=x+8
foci x^2+4x-4y=0
foci\:x^{2}+4x-4y=0
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