Popular Geometry Problems

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Popular Geometry Problems

((x-2)^2)/4+(y^2)/(33)=1	\frac{(x-2)^{2}}{4}+\frac{y^{2}}{33}=1
((x+1)^2)/(21)+((y+5)^2)/(25)=1	\frac{(x+1)^{2}}{21}+\frac{(y+5)^{2}}{25}=1
4x^2=9y	4x^{2}=9y
4x^2+3y^2=7	4x^{2}+3y^{2}=7
25x^2+4y^2-250x-16y=-541	25x^{2}+4y^{2}-250x-16y=-541
x^2+(z^2)/(225)=1	x^{2}+\frac{z^{2}}{225}=1
4x^2+12y^2-4x-24y+1=0	4x^{2}+12y^{2}-4x-24y+1=0
(x^2)/4+x+9y^2+18y+31/4 =0	\frac{x^{2}}{4}+x+9y^{2}+18y+\frac{31}{4}=0
15x^2+9y^2=225	15x^{2}+9y^{2}=225
4x^2+y^2>1	4x^{2}+y^{2}>1
y+x-3=3y^2+2x^2	y+x-3=3y^{2}+2x^{2}
4(x-1)^2+y^2=36	4(x-1)^{2}+y^{2}=36
3(3x^{(2)}+9y^{(2)}-2x-36)=-82	3(3x^{(2)}+9y^{(2)}-2x-36)=-82
x^2-8x-8y=0	x^{2}-8x-8y=0
([(x-1)^2]}{25}+\frac{[(y+3)^2])/9 =1	\frac{[(x-1)^{2}]}{25}+\frac{[(y+3)^{2}]}{9}=1
25(x^2+4x+4)+36(y^2+2y+1)=770	25(x^{2}+4x+4)+36(y^{2}+2y+1)=770
((x-3)^2}{25}+\frac{(y-1)^2)/9 =1	\frac{(x-3)^{2}}{25}+\frac{(y-1)^{2}}{9}=1
9x^2-18x+4y^2+24y=-9	9x^{2}-18x+4y^{2}+24y=-9
x/(x^2+y^2)=2	\frac{x}{x^{2}+y^{2}}=2
((((x+3)^{(2)}))/((36)))+((((y-1)^{(2)}))/((35)))=1	(\frac{((x+3)^{(2)})}{(36)})+(\frac{((y-1)^{(2)})}{(35)})=1
(25x^2)/(400-(5sqrt(7))^2)+(16y^2)/(400-(5sqrt(7))^2)=1	\frac{25x^{2}}{400-(5\sqrt{7})^{2}}+\frac{16y^{2}}{400-(5\sqrt{7})^{2}}=1
(x^2)/(200)+(y^2)/(50)=1	\frac{x^{2}}{200}+\frac{y^{2}}{50}=1
(x^2)/(81)+(y^2)/(144)=1	\frac{x^{2}}{81}+\frac{y^{2}}{144}=1
4x^2+9y^2=1-x-y	4x^{2}+9y^{2}=1-x-y
y+3=2x+5x^2	y+3=2x+5x^{2}
4x^2+y^2=4y	4x^{2}+y^{2}=4y
(1+y^2)/(1-x^2)=2	\frac{1+y^{2}}{1-x^{2}}=2
-x^2-(y^2)/(49)=1	-x^{2}-\frac{y^{2}}{49}=1
((x+7)^2)/(144)+((y+2)^2)/(100)=1	\frac{(x+7)^{2}}{144}+\frac{(y+2)^{2}}{100}=1
(x^2)/(36)+((y+9)^2)/(81)=1	\frac{x^{2}}{36}+\frac{(y+9)^{2}}{81}=1
4x^2+18y^2=36	4x^{2}+18y^{2}=36
(x-3)^2+((y+1)^2)/(49)=1	(x-3)^{2}+\frac{(y+1)^{2}}{49}=1
22y^2+32x^2-308y-512x+2.422=0	22y^{2}+32x^{2}-308y-512x+2.422=0
-3y^2-3x^2+5x+10y=5x^2+1	-3y^{2}-3x^{2}+5x+10y=5x^{2}+1
x/((x^2+y^2))=-1	\frac{x}{(x^{2}+y^{2})}=-1
asymptotes of (y^2)/9-(x^2)/(16)=1	asymptotes\:\frac{y^{2}}{9}-\frac{x^{2}}{16}=1
y^2=18x	y^{2}=18x
((x-5)/5)^2+((y+7)/(16))^2=1	(\frac{x-5}{5})^{2}+(\frac{y+7}{16})^{2}=1
2x^2+4y^2+18x+24y+44=0	2x^{2}+4y^{2}+18x+24y+44=0
(x+1)^2+((y-1)^2)/(16)=1	(x+1)^{2}+\frac{(y-1)^{2}}{16}=1
10x^2+40x+7y^2+70y+145=0	10x^{2}+40x+7y^{2}+70y+145=0
4x^2+4y^2=100-20x+x^2	4x^{2}+4y^{2}=100-20x+x^{2}
6=x^2+9y^2	6=x^{2}+9y^{2}
1=((x-3)^2}{16}+\frac{y^2)/4	1=\frac{(x-3)^{2}}{16}+\frac{y^{2}}{4}
(3x-3)^2+(-2y-4)^2=43+9+16	(3x-3)^{2}+(-2y-4)^{2}=43+9+16
36x^2+81y^2=49	36x^{2}+81y^{2}=49
49x^2+16y^2-784=0	49x^{2}+16y^{2}-784=0
(x+4)^2=2(y+2)	(x+4)^{2}=2(y+2)
9x^2+4y^2-54x-16y+61=0	9x^{2}+4y^{2}-54x-16y+61=0
(y^2}{16}+\frac{z^2)/9 =1	\frac{y^{2}}{16}+\frac{z^{2}}{9}=1
(x-4)^2+2(y-3)^2=1	(x-4)^{2}+2(y-3)^{2}=1
(x^2)/(169)+(y^2)/(36)=1	\frac{x^{2}}{169}+\frac{y^{2}}{36}=1
3y^2+x^2-12y+9=0	3y^{2}+x^{2}-12y+9=0
((x-1)^2)/4+((y+2)^2)/2 =1	\frac{(x-1)^{2}}{4}+\frac{(y+2)^{2}}{2}=1
16x^2+4y^2+16x+49y-81=0	16x^{2}+4y^{2}+16x+49y-81=0
((x-4)^2}{10}+\frac{(y-2)^2)/6 =1	\frac{(x-4)^{2}}{10}+\frac{(y-2)^{2}}{6}=1
9x^2-18x+4y^2-27=0	9x^{2}-18x+4y^{2}-27=0
4x^2+25y^2+8x=96	4x^{2}+25y^{2}+8x=96
(x+3)^2=8(y-1)	(x+3)^{2}=8(y-1)
((x^2)/(16))+((y^2)/(25))=1	(\frac{x^{2}}{16})+(\frac{y^{2}}{25})=1
((x+4)^2)/(6^2)+((y+6)^2)/(7^2)=1	\frac{(x+4)^{2}}{6^{2}}+\frac{(y+6)^{2}}{7^{2}}=1
(((x-2)^{(2)}))/((2^{(2)))}+(((y-2)^{(2)}))/((1^{(2)))}=1	\frac{((x-2)^{(2)})}{(2^{(2)})}+\frac{((y-2)^{(2)})}{(1^{(2)})}=1
X^2+4Y^2-6X-16Y+21=0	X^{2}+4Y^{2}-6X-16Y+21=0
(5p+3q)2=25p^2+9q^2	(5p+3q)2=25p^{2}+9q^{2}
25x^2+9y^2+100x+36y-89=0	25x^{2}+9y^{2}+100x+36y-89=0
(x^2)/4+(1-y/2)^2=1	\frac{x^{2}}{4}+(1-\frac{y}{2})^{2}=1
((x-12)^2)/(100)+((y+7)^2)/(36)=1	\frac{(x-12)^{2}}{100}+\frac{(y+7)^{2}}{36}=1
12x^2+10y^2=120	12x^{2}+10y^{2}=120
25x^2+9y^2-50x+54y-119=0	25x^{2}+9y^{2}-50x+54y-119=0
y=5x^2	y=5x^{2}
x^2+7k(x)+3k(x)^2=0	x^{2}+7k(x)+3k(x)^{2}=0
16x^2+25y^2+64x+150y-111=0	16x^{2}+25y^{2}+64x+150y-111=0
((x-1)^2)/(81)+((y-2)^2)/(25)=1	\frac{(x-1)^{2}}{81}+\frac{(y-2)^{2}}{25}=1
9(x-3)^2+16(y+4)^2=144	9(x-3)^{2}+16(y+4)^{2}=144
16x^2+4y^2=1	16x^{2}+4y^{2}=1
8x^2+2y^2+16x=1	8x^{2}+2y^{2}+16x=1
x^2+6y^2+14x-24y+49=0	x^{2}+6y^{2}+14x-24y+49=0
4x^2+9y^2+16x-18y-11=0	4x^{2}+9y^{2}+16x-18y-11=0
-y^2-x^2=1	-y^{2}-x^{2}=1
1/9 x^2+1/16 y^2=1	\frac{1}{9}x^{2}+\frac{1}{16}y^{2}=1
(x-3)^2= 1/2 (y+1)	(x-3)^{2}=\frac{1}{2}(y+1)
4(x-2)^2+9(y-3)^2=36	4(x-2)^{2}+9(y-3)^{2}=36
(x^2)/(7.5^2)+(y^2)/(9^2)=1	\frac{x^{2}}{7.5^{2}}+\frac{y^{2}}{9^{2}}=1
9y^2=36-4x^2	9y^{2}=36-4x^{2}
(x^2}{98}+\frac{y^2)/2 =1	\frac{x^{2}}{98}+\frac{y^{2}}{2}=1
x^2+4y^2+10x-8y+13=0	x^{2}+4y^{2}+10x-8y+13=0
x^2+4y^2+12x=0	x^{2}+4y^{2}+12x=0
((x-2)^2)/(16)+((y-2)^2)/(25)=1	\frac{(x-2)^{2}}{16}+\frac{(y-2)^{2}}{25}=1
((x-3)^2)/(25)+((y+2)^2)/(49)=1	\frac{(x-3)^{2}}{25}+\frac{(y+2)^{2}}{49}=1
16x^2+y^2+96x-10y=-153	16x^{2}+y^{2}+96x-10y=-153
x^2+y^2-25=(x+25)/7-y	x^{2}+y^{2}-25=\frac{x+25}{7}-y
-x^2+10x+3y-37=0	-x^{2}+10x+3y-37=0
((x-4)^2)/9+((y-2)^2)/(25)=1	\frac{(x-4)^{2}}{9}+\frac{(y-2)^{2}}{25}=1
(y-6)^2=23-(23(x-3)^2)/(39)	(y-6)^{2}=23-\frac{23(x-3)^{2}}{39}
((x+4)^2)/(10^2)+((y-1)^2)/(2sqrt(11.1)^2)=1	\frac{(x+4)^{2}}{10^{2}}+\frac{(y-1)^{2}}{2\sqrt{11.1}^{2}}=1
(x^2)/(1.587^2)+(y^2)/(0.99^2)=1	\frac{x^{2}}{1.587^{2}}+\frac{y^{2}}{0.99^{2}}=1
9(x-1)^2+4y^2=36	9\cdot\:(x-1)^{2}+4\cdot\:y^{2}=36
4x^2+9y^2-144=0	4x^{2}+9y^{2}-144=0
3x^2+2y^2-8=0	3x^{2}+2y^{2}-8=0
1/(4x^2+y^2)=1	\frac{1}{4x^{2}+y^{2}}=1

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