Popular Geometry Problems

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Popular Geometry Problems

((x+3)^2)/1-((y+3)^2)/3 =1	\frac{(x+3)^{2}}{1}-\frac{(y+3)^{2}}{3}=1
(x-9)^2-9(y+7)^2=1	(x-9)^{2}-9(y+7)^{2}=1
4x^2-9y^2+24x-36y-36=0	4x^{2}-9y^{2}+24x-36y-36=0
(x^2)/4-(((y+1))/(16))^2=1	\frac{x^{2}}{4}-(\frac{(y+1)}{16})^{2}=1
(x^2)/(25)-(y^2)/(121)=1	\frac{x^{2}}{25}-\frac{y^{2}}{121}=1
((x+4)^2}{25}-\frac{(y-2)^2)/4 =1	\frac{(x+4)^{2}}{25}-\frac{(y-2)^{2}}{4}=1
x=y^2-2y-1	x=y^{2}-2y-1
x^2-y^2-9=3	x^{2}-y^{2}-9=3
9x^2-16=(4x+s)(4x-s)	9x^{2}-16=(4x+s)(4x-s)
((x-5)/4)^2-((y+7)/3)^2=-1	(\frac{x-5}{4})^{2}-(\frac{y+7}{3})^{2}=-1
y^2=(x-4)^2+4	y^{2}=(x-4)^{2}+4
((y-1)^2)/4-((x+4)^2)/9 =1	\frac{(y-1)^{2}}{4}-\frac{(x+4)^{2}}{9}=1
3(x-2)^{(2)}-2(y-2)^{(2)}=-11	3(x-2)^{(2)}-2(y-2)^{(2)}=-11
2x^2-6y^2+14=0	2x^{2}-6y^{2}+14=0
(x+y)(x-y)>= 1	(x+y)(x-y)\ge\:1
((x-5/2)^2)/((5/2)^2)-((y-5)^2)/((5/2)^2)=1	\frac{(x-\frac{5}{2})^{2}}{(\frac{5}{2})^{2}}-\frac{(y-5)^{2}}{(\frac{5}{2})^{2}}=1
16x^2-9y^2+96x-72y+144=0	16x^{2}-9y^{2}+96x-72y+144=0
(y-2)^2+16(x-3)=0	(y-2)^{2}+16(x-3)=0
(x^2)/(81)-(y^2)/(61)=1	\frac{x^{2}}{81}-\frac{y^{2}}{61}=1
((x-sqrt(27))^2)/3-((y-4)^2)/5 =1	\frac{(x-\sqrt{27})^{2}}{3}-\frac{(y-4)^{2}}{5}=1
2x^2-3y^2=47	2x^{2}-3y^{2}=47
-9x^2+4y^2=144	-9x^{2}+4y^{2}=144
((x+3)^2)/9-((y-4)^2)/(16)=1	\frac{(x+3)^{2}}{9}-\frac{(y-4)^{2}}{16}=1
y^2=(16-x^2)/(-4)	y^{2}=\frac{16-x^{2}}{-4}
((x+1)/(36))^2-((y-4)/(64))^2=1	(\frac{x+1}{36})^{2}-(\frac{y-4}{64})^{2}=1
((x-3)^2)/(36)-((y-2)^2)/(64)=1	\frac{(x-3)^{2}}{36}-\frac{(y-2)^{2}}{64}=1
4x^2-5y^2-36y-36=0	4x^{2}-5y^{2}-36y-36=0
y^2-1=16(x^2-1)	y^{2}-1=16(x^{2}-1)
(y-2)=(x+4)^2	(y-2)=(x+4)^{2}
5x^2-4y^2-18y+9=0	5x^{2}-4y^{2}-18y+9=0
((x+3)^2)/4-((y+1)^2)/9 =1	\frac{(x+3)^{2}}{4}-\frac{(y+1)^{2}}{9}=1
((y+3)^2)/(81)-((x+3)^2)/(16)=1	\frac{(y+3)^{2}}{81}-\frac{(x+3)^{2}}{16}=1
(x-4)^2-(y-4)^2<= 9	(x-4)^{2}-(y-4)^{2}\le\:9
x^2+x=y^2	x^{2}+x=y^{2}
((x^{(2)}))/((9))-((y^{(2)}))/((16))=1	\frac{(x^{(2)})}{(9)}-\frac{(y^{(2)})}{(16)}=1
y^2-4z^2=4	y^{2}-4z^{2}=4
-(y^2)/4+(z^2)/4 =1	-\frac{y^{2}}{4}+\frac{z^{2}}{4}=1
((y+2)^2)/4-((x-1)^2)/(64)=1	\frac{(y+2)^{2}}{4}-\frac{(x-1)^{2}}{64}=1
(y-1)^2-9(x-2)^2=9	(y-1)^{2}-9(x-2)^{2}=9
7x^2-4x=10-2h(x)	7x^{2}-4x=10-2h(x)
y^2=(-x)^2+6	y^{2}=(-x)^{2}+6
(4b-4a)/(b-a)=(a^2-b^2)	\frac{4b-4a}{b-a}=(a^{2}-b^{2})
(x^2)/(25)-y^2=1	\frac{x^{2}}{25}-y^{2}=1
Geometry / Hyperbola / foci---4209---2.602968460111317	Geometry\:/\:Hyperbola\:/\:foci\:---\:4209\:---\:2.602968460111317
vertices ((x-3)^2)/(49)-((y+5)^2)/(25)=1	vertices\:\frac{(x-3)^{2}}{49}-\frac{(y+5)^{2}}{25}=1
vertices 9x^2-y^2-36x-6y+18=0	vertices\:9x^{2}-y^{2}-36x-6y+18=0
y=x^2+4x+7	y=x^{2}+4x+7
vertices ((x+4)^2)/9-((y-3)^2)/(25)=1	vertices\:\frac{(x+4)^{2}}{9}-\frac{(y-3)^{2}}{25}=1
vertices (x^2)/4-(y^2)/(25)=1	vertices\:\frac{x^{2}}{4}-\frac{y^{2}}{25}=1
vertices (x^2}{16}-\frac{y^2)/4 =1	vertices\:\frac{x^{2}}{16}-\frac{y^{2}}{4}=1
vertices ((y+4)^2)/9-((x-3)^2)/(25)=1	vertices\:\frac{(y+4)^{2}}{9}-\frac{(x-3)^{2}}{25}=1
vertices ((x-3)^2)/(49)-((y+2)^2)/(16)=1	vertices\:\frac{(x-3)^{2}}{49}-\frac{(y+2)^{2}}{16}=1
vertices ((x-3)^2)/(25)-((y+1)^2)/(25)=1	vertices\:\frac{(x-3)^{2}}{25}-\frac{(y+1)^{2}}{25}=1
vertices ((x-1)^2)/4-((y-2)^2)/1 =1	vertices\:\frac{(x-1)^{2}}{4}-\frac{(y-2)^{2}}{1}=1
vertices (x^2)/4-((y+3)^2)/9 =1	vertices\:\frac{x^{2}}{4}-\frac{(y+3)^{2}}{9}=1
vertices 25y^2-16x^2-400=0	vertices\:25y^{2}-16x^{2}-400=0
vertices x^2-9y^2+4x+18y-149=0	vertices\:x^{2}-9y^{2}+4x+18y-149=0
y^2+18y-2x=-84	y^{2}+18y-2x=-84
vertices (x^2)/4-((y+1)^2)/(16)=1	vertices\:\frac{x^{2}}{4}-\frac{(y+1)^{2}}{16}=1
vertices 2x^2-2y^2-20x+16y+16=0	vertices\:2x^{2}-2y^{2}-20x+16y+16=0
vertices (x^2)/(144)-(y^2)/(25)=1	vertices\:\frac{x^{2}}{144}-\frac{y^{2}}{25}=1
vertices 9y^2-x^2+2x+54y+62=0	vertices\:9y^{2}-x^{2}+2x+54y+62=0
vertices ((x-5)^2)/4-((y+5)^2)/9 =1	vertices\:\frac{(x-5)^{2}}{4}-\frac{(y+5)^{2}}{9}=1
vertices 9x^2-4y^2-54x-8y+113=0	vertices\:9x^{2}-4y^{2}-54x-8y+113=0
vertices x^2-y^2+2y=0	vertices\:x^{2}-y^{2}+2y=0
vertices (x^2)/(64)-(y^2)/(36)=1	vertices\:\frac{x^{2}}{64}-\frac{y^{2}}{36}=1
vertices x^2-(y^2)/4 =1	vertices\:x^{2}-\frac{y^{2}}{4}=1
vertices-((x-3)^2}{25}+\frac{(y+2)^2)/9 =1	vertices\:-\frac{(x-3)^{2}}{25}+\frac{(y+2)^{2}}{9}=1
8y^2+64y+32x-48=0	8y^{2}+64y+32x-48=0
vertices (y^2)/(25)-(x^2)/(144)=1	vertices\:\frac{y^{2}}{25}-\frac{x^{2}}{144}=1
vertices-((y-3)^2}{25}+\frac{(x+2)^2)/9 =1	vertices\:-\frac{(y-3)^{2}}{25}+\frac{(x+2)^{2}}{9}=1
vertices 4x^2-9y^2-24x-36y-36=0	vertices\:4x^{2}-9y^{2}-24x-36y-36=0
vertices 9x^2-25y^2=225	vertices\:9x^{2}-25y^{2}=225
vertices (x^2}{36}-\frac{y^2)/4 =1	vertices\:\frac{x^{2}}{36}-\frac{y^{2}}{4}=1
vertices (x^2)/4-(y^2)/5 =1	vertices\:\frac{x^{2}}{4}-\frac{y^{2}}{5}=1
vertices 18x^2-32y^2-108y-128x-254=0	vertices\:18x^{2}-32y^{2}-108y-128x-254=0
vertices 9y^2-25x^2-100x-108y-1=0	vertices\:9y^{2}-25x^{2}-100x-108y-1=0
vertices ((x+5)^2)/4-(y^2)/4 =1	vertices\:\frac{(x+5)^{2}}{4}-\frac{y^{2}}{4}=1
vertices-9x^2+8y^2+36x+48y=36	vertices\:-9x^{2}+8y^{2}+36x+48y=36
y^2+x-9=0	y^{2}+x-9=0
vertices 36x^2-y^2-216x+10y+263=0	vertices\:36x^{2}-y^{2}-216x+10y+263=0
vertices 4x^2-9y^2-36=0	vertices\:4x^{2}-9y^{2}-36=0
vertices 9x^2-4y^2-54x-16y+29=0	vertices\:9x^{2}-4y^{2}-54x-16y+29=0
vertices 25x^2-16y^2+50x+128y-631=0	vertices\:25x^{2}-16y^{2}+50x+128y-631=0
vertices x^2-y^2+7x+8y=5	vertices\:x^{2}-y^{2}+7x+8y=5
vertices 16x^2-25y^2=400	vertices\:16x^{2}-25y^{2}=400
vertices x^2-9y^2-4x+36y-41=0	vertices\:x^{2}-9y^{2}-4x+36y-41=0
vertices (x^2)/9-(y^2)/(49)=1	vertices\:\frac{x^{2}}{9}-\frac{y^{2}}{49}=1
vertices 4x^2-1/2 y^2+8x+2y=2	vertices\:4x^{2}-\frac{1}{2}y^{2}+8x+2y=2
vertices ((x-5)^2)/4-((y+1)^2)/(49)=1	vertices\:\frac{(x-5)^{2}}{4}-\frac{(y+1)^{2}}{49}=1
foci (x^2)/7+(y^2)/(16)=1	foci\:\frac{x^{2}}{7}+\frac{y^{2}}{16}=1
y-3x^2+2x-36<= 0	y-3x^{2}+2x-36\le\:0
vertices ((x-5)^2}{16}-\frac{(y+7)^2)/9 =-1	vertices\:\frac{(x-5)^{2}}{16}-\frac{(y+7)^{2}}{9}=-1
vertices (y^2)/9-(x^2)/4 =1	vertices\:\frac{y^{2}}{9}-\frac{x^{2}}{4}=1
vertices (x^2)/(100)-(y^2)/(64)=1	vertices\:\frac{x^{2}}{100}-\frac{y^{2}}{64}=1
vertices (y^2)/(25)-(x^2)/(81)=1	vertices\:\frac{y^{2}}{25}-\frac{x^{2}}{81}=1
vertices 9x^2-18x-16y^2-64y=199	vertices\:9x^{2}-18x-16y^{2}-64y=199
vertices (y^2)/(49)-(x^2)/(16)=1	vertices\:\frac{y^{2}}{49}-\frac{x^{2}}{16}=1
vertices-3x^2+2y^2+6x-7y=7	vertices\:-3x^{2}+2y^{2}+6x-7y=7
vertices ((y-3)^2)/(49)-((x+2)^2)/(16)=1	vertices\:\frac{(y-3)^{2}}{49}-\frac{(x+2)^{2}}{16}=1

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