Popular geometry Problems

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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
x=4y^2	x=4y^{2}
foci x^2+4x-4y=0	foci\:x^{2}+4x-4y=0
x^2+y^2-4x+8y-5=0	x^{2}+y^{2}-4x+8y-5=0
directrix x=2y^2	directrix\:x=2y^{2}
foci 0=-400/9 x^2+16y^2+400	foci\:0=-\frac{400}{9}x^{2}+16y^{2}+400
5x^2+7y=3	5x^{2}+7y=3
center 41x^2+16y^2+246x-192y+289=0	center\:41x^{2}+16y^{2}+246x-192y+289=0
x^2+14x+y^2-6y-23=0	x^{2}+14x+y^{2}-6y-23=0
x=2y-y^2	x=2y-y^{2}
x^2-2x+y^2+4y=4	x^{2}-2x+y^{2}+4y=4
foci x=2y^2	foci\:x=2y^{2}
(x^2)/(36)+(y^2)/(49)=1	\frac{x^{2}}{36}+\frac{y^{2}}{49}=1
vertices f(x)=-x^2	vertices\:f(x)=-x^{2}
foci-1/20 x^2=y	foci\:-\frac{1}{20}x^{2}=y
x^2+y^2-2x-6y-15=0	x^{2}+y^{2}-2x-6y-15=0
x^2=-24y	x^{2}=-24y
axis y=-x^2-6x-5	axis\:y=-x^{2}-6x-5
complete the square 9y^2-6y-9-x=0	complete\:the\:square\:9y^{2}-6y-9-x=0
asymptotes (x^2)/4-(y^2)/9 =1	asymptotes\:\frac{x^{2}}{4}-\frac{y^{2}}{9}=1
5y^2-2x^2=9	5y^{2}-2x^{2}=9
9x^2+25y^2-36x-50y+60=0	9x^{2}+25y^{2}-36x-50y+60=0
x^2-(y^2)/4 =1	x^{2}-\frac{y^{2}}{4}=1
y^2=-6x	y^{2}=-6x
25x^2-10x-200y-119=0	25x^{2}-10x-200y-119=0
(x^2}{16}-\frac{y^2)/4 =1	\frac{x^{2}}{16}-\frac{y^{2}}{4}=1
directrix y^2=8x	directrix\:y^{2}=8x
y^2=-8x	y^{2}=-8x
foci (y^2)/(64)-(x^2)/(36)=1	foci\:\frac{y^{2}}{64}-\frac{x^{2}}{36}=1
9x^2-36x-4y^2-24y-36=0	9x^{2}-36x-4y^{2}-24y-36=0
eccentricity x^2+4y^2=16	eccentricity\:x^{2}+4y^{2}=16
4x^2+3y^2+8x-24y+51=0	4x^{2}+3y^{2}+8x-24y+51=0
foci 9y^2-25x^2=225	foci\:9y^{2}-25x^{2}=225
x^2-y^2=4	x^{2}-y^{2}=4
y^2-4x+4y-4=0	y^{2}-4x+4y-4=0
foci (x^2}{81}+\frac{y^2)/9 =1	foci\:\frac{x^{2}}{81}+\frac{y^{2}}{9}=1
16x^2+16y^2+32x+8y=47	16x^{2}+16y^{2}+32x+8y=47
(x^2)/9+(y^2)/4 =1	\frac{x^{2}}{9}+\frac{y^{2}}{4}=1
directrix y^2=-16x	directrix\:y^{2}=-16x
foci (x^2)/(49)+(y^2)/(36)=1	foci\:\frac{x^{2}}{49}+\frac{y^{2}}{36}=1
foci x=-1/8 y^2	foci\:x=-\frac{1}{8}y^{2}
x^2+y^2=13	x^{2}+y^{2}=13
vertices (x^2)/(64)+(y^2)/(36)=1	vertices\:\frac{x^{2}}{64}+\frac{y^{2}}{36}=1
-1=x^2-y^2	-1=x^{2}-y^{2}
y^2=-12x	y^{2}=-12x
foci (x^2)/(49)-(y^2)/(16)=1	foci\:\frac{x^{2}}{49}-\frac{y^{2}}{16}=1
foci y^2=8x	foci\:y^{2}=8x
vertices f(x)=-x^2+4x+5	vertices\:f(x)=-x^{2}+4x+5
100x^2+100y^2-100x+400y+409=0	100x^{2}+100y^{2}-100x+400y+409=0
y^2=28x	y^{2}=28x
9x^2+4y^2=1	9x^{2}+4y^{2}=1
radius x^2+y^2=64	radius\:x^{2}+y^{2}=64
((x-2)^2)/9-(y+1)^2=1	\frac{(x-2)^{2}}{9}-(y+1)^{2}=1
37.2y=x^2	37.2y=x^{2}
vertices x^2-y^2=25	vertices\:x^{2}-y^{2}=25
x^2+4y^2=1	x^{2}+4y^{2}=1
16x^2+25y^2=400	16x^{2}+25y^{2}=400
(x^2)/(25)+y^2=1	\frac{x^{2}}{25}+y^{2}=1
vertices ((y-2)^2)/9-((x-1)^2)/(16)=1	vertices\:\frac{(y-2)^{2}}{9}-\frac{(x-1)^{2}}{16}=1
(x^2)/(16)+(y^2)/(25)=1	\frac{x^{2}}{16}+\frac{y^{2}}{25}=1
y>x^2-3	y>x^{2}-3
(x^2)/(36)-(y^2)/(64)=1	\frac{x^{2}}{36}-\frac{y^{2}}{64}=1
x^2+(y^2)/(16)=1	x^{2}+\frac{y^{2}}{16}=1
(x+1)^2+(y-2)^2=9	(x+1)^{2}+(y-2)^{2}=9
asymptotes ((y+1)^2)/4-(x-5)^2=4	asymptotes\:\frac{(y+1)^{2}}{4}-(x-5)^{2}=4
25x^2-9y^2=225	25x^{2}-9y^{2}=225
(x^2)/4+(y^2)/(25)=1	\frac{x^{2}}{4}+\frac{y^{2}}{25}=1
foci (x^2}{25}+\frac{y^2)/9 =1	foci\:\frac{x^{2}}{25}+\frac{y^{2}}{9}=1
vertices f(x)=x^2+4x+4	vertices\:f(x)=x^{2}+4x+4
directrix x=4y^2	directrix\:x=4y^{2}
center 9x^2+4y^2=36	center\:9x^{2}+4y^{2}=36
vertices f(x)=x^2-x-6	vertices\:f(x)=x^{2}-x-6
3.5(x+2.2)^2+3.5(y-11.1)^2-21=0	3.5(x+2.2)^{2}+3.5(y-11.1)^{2}-21=0
y^2-4y+4x=-16	y^{2}-4y+4x=-16
((x-4)^2}{36}-\frac{(y-2)^2)/9 =1	\frac{(x-4)^{2}}{36}-\frac{(y-2)^{2}}{9}=1
vertices f(x)=x^2+4	vertices\:f(x)=x^{2}+4
vertices (y^2)/(25)-(x^2)/(16)=1	vertices\:\frac{y^{2}}{25}-\frac{x^{2}}{16}=1
vertices (x^2)/(169)+(y^2)/(25)=1	vertices\:\frac{x^{2}}{169}+\frac{y^{2}}{25}=1
vertices 9x^2-4y^2=36	vertices\:9x^{2}-4y^{2}=36
2x-y^2=4	2x-y^{2}=4
vertices f(x)=x^2-24x-12	vertices\:f(x)=x^{2}-24x-12
foci x^2=-12y	foci\:x^{2}=-12y
vertices f(x)=x^2+6x+8	vertices\:f(x)=x^{2}+6x+8
4x^2+16y^2-4x-32y+1=0	4x^{2}+16y^{2}-4x-32y+1=0
x=(y+2)^2	x=(y+2)^{2}
eccentricity x^2-y^2=4	eccentricity\:x^{2}-y^{2}=4
vertices f(x)=x^2+5x+6	vertices\:f(x)=x^{2}+5x+6
2x^2+2y^2-2x-2y-3=0	2x^{2}+2y^{2}-2x-2y-3=0
foci (x^2)/(36)+(y^2)/(25)=1	foci\:\frac{x^{2}}{36}+\frac{y^{2}}{25}=1
foci (x^2)/4-(y^2)/(16)=1	foci\:\frac{x^{2}}{4}-\frac{y^{2}}{16}=1
x^2+y^2-2y=0	x^{2}+y^{2}-2y=0
9x^2-9y^2+18x+36y=63	9x^{2}-9y^{2}+18x+36y=63
directrix y^2=28x	directrix\:y^{2}=28x
vertices (x^2}{64}-\frac{y^2)/9 =1	vertices\:\frac{x^{2}}{64}-\frac{y^{2}}{9}=1
(y^2)/(16)-(x^2)/(25)=1	\frac{y^{2}}{16}-\frac{x^{2}}{25}=1
(x^2)/(64)-(y^2)/(36)=1	\frac{x^{2}}{64}-\frac{y^{2}}{36}=1
9x^2-4y^2-90x-32y=-305	9x^{2}-4y^{2}-90x-32y=-305
36x^2+288x+64y^2-256y=1472	36x^{2}+288x+64y^{2}-256y=1472
asymptotes (y^2)/4-(x+1)^2=1	asymptotes\:\frac{y^{2}}{4}-(x+1)^{2}=1

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