Popular Geometry Problems

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Popular Geometry Problems

foci x^2+4y^2-6x-16y+21=0	foci\:x^{2}+4y^{2}-6x-16y+21=0
foci 81x^2-1296x+16y^2+64y=-3952	foci\:81x^{2}-1296x+16y^{2}+64y=-3952
foci x^2+8y^2=32	foci\:x^{2}+8y^{2}=32
foci 25x^2+y^2-100x+8y+91=0	foci\:25x^{2}+y^{2}-100x+8y+91=0
y^2+8y+20x+56=0	y^{2}+8y+20x+56=0
foci 9x^2+36y^2=324	foci\:9x^{2}+36y^{2}=324
foci ((x-12)^2)/(289)+((y-3)^2)/(64)=1	foci\:\frac{(x-12)^{2}}{289}+\frac{(y-3)^{2}}{64}=1
foci 9X^2+4Y^2=36	foci\:9X^{2}+4Y^{2}=36
foci (x^2)/9+(y^2)/(36)=1	foci\:\frac{x^{2}}{9}+\frac{y^{2}}{36}=1
foci 4(x-1)^2+9(y-1)^2=36	foci\:4(x-1)^{2}+9(y-1)^{2}=36
foci ((x+1)^2)/(100)+((y+2)^2)/(121)=1	foci\:\frac{(x+1)^{2}}{100}+\frac{(y+2)^{2}}{121}=1
foci ((x-2)^2)/9+((y-1)^2)/4 =1	foci\:\frac{(x-2)^{2}}{9}+\frac{(y-1)^{2}}{4}=1
foci ((x-4)^2)/(24)+((y-2)^2)/(49)=1	foci\:\frac{(x-4)^{2}}{24}+\frac{(y-2)^{2}}{49}=1
foci x^2+2y^2+2x-8y+7=0	foci\:x^{2}+2y^{2}+2x-8y+7=0
foci ((x+13)^2)/(400)+((y+6)^2)/(625)=1	foci\:\frac{(x+13)^{2}}{400}+\frac{(y+6)^{2}}{625}=1
y^2+10x=0	y^{2}+10x=0
foci 4x^2+y^2-16x-2y-19=0	foci\:4x^{2}+y^{2}-16x-2y-19=0
foci (x^2)/4+(y-1)^2=1	foci\:\frac{x^{2}}{4}+(y-1)^{2}=1
foci 3x^2+7y^2=63	foci\:3x^{2}+7y^{2}=63
foci 25x^2+9y^2=225	foci\:25x^{2}+9y^{2}=225
foci (x^2}{34}+\frac{y^2)/9 =1	foci\:\frac{x^{2}}{34}+\frac{y^{2}}{9}=1
foci x^2+4y^2-4x=0	foci\:x^{2}+4y^{2}-4x=0
foci 9x^2+4y^2-36x+40y+100=0	foci\:9x^{2}+4y^{2}-36x+40y+100=0
foci x^2+y^2-2y=0	foci\:x^{2}+y^{2}-2y=0
foci (x^2)/(12)+((y-4)^2)/(16)=1	foci\:\frac{x^{2}}{12}+\frac{(y-4)^{2}}{16}=1
foci ((x+2)^2)/(16)+((y+2)^2)/(25)=1	foci\:\frac{(x+2)^{2}}{16}+\frac{(y+2)^{2}}{25}=1
x^2+8x-10y=-4	x^{2}+8x-10y=-4
foci (x^2)/(96)+(y^2)/(100)=1	foci\:\frac{x^{2}}{96}+\frac{y^{2}}{100}=1
foci 9x^2+25y^2-100y-125=0	foci\:9x^{2}+25y^{2}-100y-125=0
foci 3x^2+4y^2=12	foci\:3x^{2}+4y^{2}=12
foci ((x-1)^2}{16}+\frac{(y+2)^2)/9 =1	foci\:\frac{(x-1)^{2}}{16}+\frac{(y+2)^{2}}{9}=1
foci ((x-3)^2}{25}+\frac{(y+1)^2)/9 =1	foci\:\frac{(x-3)^{2}}{25}+\frac{(y+1)^{2}}{9}=1
foci 9x^2+16y^2-36x+96y+36=0	foci\:9x^{2}+16y^{2}-36x+96y+36=0
foci ((x-1)^2)/(45)+(y^2)/(54)=1	foci\:\frac{(x-1)^{2}}{45}+\frac{y^{2}}{54}=1
foci 36x^2+5y^2-90y-495=0	foci\:36x^{2}+5y^{2}-90y-495=0
foci 16x^2-32x+9y^2=128	foci\:16x^{2}-32x+9y^{2}=128
foci ((x^2)/(15))+((y^2)/(16))=1	foci\:(\frac{x^{2}}{15})+(\frac{y^{2}}{16})=1
y=3(x-1)^2-4	y=3(x-1)^{2}-4
foci 9x^2-18x+25y^2-250y+409=0	foci\:9x^{2}-18x+25y^{2}-250y+409=0
foci 25x^2+9y^2+50x-108y+124=0	foci\:25x^{2}+9y^{2}+50x-108y+124=0
foci x^2+2y^2=4	foci\:x^{2}+2y^{2}=4
foci (x^2)/3+(y^2)/5 =1	foci\:\frac{x^{2}}{3}+\frac{y^{2}}{5}=1
foci 16x^2+25y^2-64x+150y-111=0	foci\:16x^{2}+25y^{2}-64x+150y-111=0
foci 9x^2+49y^2=441	foci\:9x^{2}+49y^{2}=441
foci ((x-1)^2)/(425)+((y-2)^2)/(400)=1	foci\:\frac{(x-1)^{2}}{425}+\frac{(y-2)^{2}}{400}=1
foci (((x-6)^{(2)}))/((64))+((y^{(2)}))/((6.25))=1	foci\:\frac{((x-6)^{(2)})}{(64)}+\frac{(y^{(2)})}{(6.25)}=1
foci 9x^2+4y^2+18x-8y-131=0	foci\:9x^{2}+4y^{2}+18x-8y-131=0
foci ((x-2)^2)/(225)+((y-8)^2)/(81)=1	foci\:\frac{(x-2)^{2}}{225}+\frac{(y-8)^{2}}{81}=1
y<x^2	y<x^{2}
foci x^2+2y^2+2x-20y+43=0	foci\:x^{2}+2y^{2}+2x-20y+43=0
foci (x^2)/4+(y^2)/3 =1	foci\:\frac{x^{2}}{4}+\frac{y^{2}}{3}=1
foci 2x^2+3y^2+10x+10y-10=0	foci\:2x^{2}+3y^{2}+10x+10y-10=0
foci ((x-4)^2)/9+((y+6)^2)/4 =1	foci\:\frac{(x-4)^{2}}{9}+\frac{(y+6)^{2}}{4}=1
foci (x^2}{16}+\frac{(y-2)^2)/9 =1	foci\:\frac{x^{2}}{16}+\frac{(y-2)^{2}}{9}=1
foci ((x+4)^2)/(225)+((y-7)^2)/(81)=1	foci\:\frac{(x+4)^{2}}{225}+\frac{(y-7)^{2}}{81}=1
foci 9x^2+4y^2=24y	foci\:9x^{2}+4y^{2}=24y
foci 25x^2+16y^2+100x-96y-156=0	foci\:25x^{2}+16y^{2}+100x-96y-156=0
foci 2x^2+4y^2-8x-4y-15=0	foci\:2x^{2}+4y^{2}-8x-4y-15=0
foci 3x^2+y^2=9	foci\:3x^{2}+y^{2}=9
x=(y^2)/4	x=\frac{y^{2}}{4}
foci 16x^2+81y^2=81	foci\:16x^{2}+81y^{2}=81
foci ((x+4)^2}{16}+\frac{(y-2)^2)/9 =1	foci\:\frac{(x+4)^{2}}{16}+\frac{(y-2)^{2}}{9}=1
foci ((x+3)^2)/(49)+(y^2)/(36)=1	foci\:\frac{(x+3)^{2}}{49}+\frac{y^{2}}{36}=1
foci (x^2)/(16)+(y^2)/(49)=1	foci\:\frac{x^{2}}{16}+\frac{y^{2}}{49}=1
foci ((x+5)^2)/(100)+((y-4)^2)/(64)=1	foci\:\frac{(x+5)^{2}}{100}+\frac{(y-4)^{2}}{64}=1
foci 9x^2+16y^2-72x+64y-368=0	foci\:9x^{2}+16y^{2}-72x+64y-368=0
foci 7x^2+2y^2=14	foci\:7x^{2}+2y^{2}=14
foci 25x^2+36y^2=900	foci\:25x^{2}+36y^{2}=900
foci ((x-3)^2}{16}+\frac{(y+4)^2)/9 =1	foci\:\frac{(x-3)^{2}}{16}+\frac{(y+4)^{2}}{9}=1
foci ((x-1)^2)/9+((y-1)^2)/5 =1	foci\:\frac{(x-1)^{2}}{9}+\frac{(y-1)^{2}}{5}=1
y-17=2x^2+12x	y-17=2x^{2}+12x
foci 4x^2+25y^2-50y=75	foci\:4x^{2}+25y^{2}-50y=75
foci x^2+4y^2-16=0	foci\:x^{2}+4y^{2}-16=0
foci 16(x-1)^2+9(y+2)^2=144	foci\:16(x-1)^{2}+9(y+2)^{2}=144
foci ((x-5)^2)/3+((y-7)^2)/6 =1	foci\:\frac{(x-5)^{2}}{3}+\frac{(y-7)^{2}}{6}=1
foci (x^2)/(100)+(y^2)/(50)=1	foci\:\frac{x^{2}}{100}+\frac{y^{2}}{50}=1
foci (x^2)/(49)+(y^2)/(81)=1	foci\:\frac{x^{2}}{49}+\frac{y^{2}}{81}=1
foci 25x^2+16y^2+100x+96y-156=0	foci\:25x^{2}+16y^{2}+100x+96y-156=0
foci 9x^2+16y^2+64y-80=0	foci\:9x^{2}+16y^{2}+64y-80=0
foci 4x^2+y^2=4x	foci\:4x^{2}+y^{2}=4x
foci 9x^2+9y^2+18x-18y+14=0	foci\:9x^{2}+9y^{2}+18x-18y+14=0
2(y+2)=(x+2)^2	2(y+2)=(x+2)^{2}
foci (x^2)/(81)+(y^2)/(64)=1	foci\:\frac{x^{2}}{81}+\frac{y^{2}}{64}=1
foci ((x-2)^2)/(16)+((y+1)^2)/(25)=1	foci\:\frac{(x-2)^{2}}{16}+\frac{(y+1)^{2}}{25}=1
foci 36x^2+9y^2+48x-36y+43=0	foci\:36x^{2}+9y^{2}+48x-36y+43=0
foci 4x^2+9y^2-18y-27=0	foci\:4x^{2}+9y^{2}-18y-27=0
foci 9x^2+36x+y^2+2y+36=0	foci\:9x^{2}+36x+y^{2}+2y+36=0
foci ((x-4)^2)/9+(y+3)^2=1	foci\:\frac{(x-4)^{2}}{9}+(y+3)^{2}=1
foci 2x^2+5y^2=10	foci\:2x^{2}+5y^{2}=10
foci x^2+4y^2-2x-16y+13=0	foci\:x^{2}+4y^{2}-2x-16y+13=0
foci 4x^2+9y^2=25	foci\:4x^{2}+9y^{2}=25
foci 4y^2+2x^2-4y-8x-15=0	foci\:4y^{2}+2x^{2}-4y-8x-15=0
vertices (x^2}{25}-\frac{y^2)/9 =1	vertices\:\frac{x^{2}}{25}-\frac{y^{2}}{9}=1
9x+16y^2=7	9x+16y^{2}=7
foci ((x)^2)/(49)+((y)^2)/(25)=1	foci\:\frac{(x)^{2}}{49}+\frac{(y)^{2}}{25}=1
foci ((x-4)^2)/9+((y-7)^2)/(36)=1	foci\:\frac{(x-4)^{2}}{9}+\frac{(y-7)^{2}}{36}=1
foci ((x-1)^2)/3+((y-2)^2)/4 =1	foci\:\frac{(x-1)^{2}}{3}+\frac{(y-2)^{2}}{4}=1
foci x^2+4y^2=36	foci\:x^{2}+4y^{2}=36
foci 81x^2+9y^2=9	foci\:81x^{2}+9y^{2}=9
foci (x^2}{16}+\frac{(y-4)^2)/1 =1	foci\:\frac{x^{2}}{16}+\frac{(y-4)^{2}}{1}=1

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