Popular Geometry Problems

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Popular Geometry Problems

4x^2+y^2+8x>0	4x^{2}+y^{2}+8x>0
-1=x^2+(y-1)^2	-1=x^{2}+(y-1)^{2}
y=(x-4)^2+3	y=(x-4)^{2}+3
(x^2+y^2)/(x^2+(y+1)^2)=16	\frac{x^{2}+y^{2}}{x^{2}+(y+1)^{2}}=16
200=(1000)/(1+x^2+y^2)	200=\frac{1000}{1+x^{2}+y^{2}}
((x-8)^2)/(42)+((y+7)^2)/(16)=1	\frac{(x-8)^{2}}{42}+\frac{(y+7)^{2}}{16}=1
2x^2+2y^2-8y=0	2x^{2}+2y^{2}-8y=0
6x^2+9y^2+54y=60x-87	6x^{2}+9y^{2}+54y=60x-87
16x^2+16y^2=1+2x+x^2	16x^{2}+16y^{2}=1+2x+x^{2}
(((x-1)^{(2)}))/((28))+(((y+4)^{(2)}))/((14))=1	\frac{((x-1)^{(2)})}{(28)}+\frac{((y+4)^{(2)})}{(14)}=1
((x^2)/9)+((y^2)/5)=1	(\frac{x^{2}}{9})+(\frac{y^{2}}{5})=1
9x^2+25y^2+36x+150y+36=0	9x^{2}+25y^{2}+36x+150y+36=0
16x^2+25y^2-224x-150y+1009=400	16x^{2}+25y^{2}-224x-150y+1009=400
y^2=Cx+1/8 C^3	y^{2}=Cx+\frac{1}{8}C^{3}
((x-2)^2)/4+((y+2)^2)/8 =1	\frac{(x-2)^{2}}{4}+\frac{(y+2)^{2}}{8}=1
2x^2+y^2-4=0	2x^{2}+y^{2}-4=0
4x^2+25y^2+24x+250y=-561	4x^{2}+25y^{2}+24x+250y=-561
x^2-8x+16y^2-2y+4=625	x^{2}-8x+16y^{2}-2y+4=625
9x^2+25y^2-36x-50y-164=0	9x^{2}+25y^{2}-36x-50y-164=0
x^2-2x^2-2y^2-12=0	x^{2}-2x^{2}-2y^{2}-12=0
x^2=-1/4 (y-4)^2+1/2	x^{2}=-\frac{1}{4}(y-4)^{2}+\frac{1}{2}
((y-2)^2)/9+((x-3)^2)/(16)=1	\frac{(y-2)^{2}}{9}+\frac{(x-3)^{2}}{16}=1
((x-3)^2)/9+((y+4)^2)/4 =1	\frac{(x-3)^{2}}{9}+\frac{(y+4)^{2}}{4}=1
6x^2+96x+16y^2-40y=315	6x^{2}+96x+16y^{2}-40y=315
x=7y^2+4	x=7y^{2}+4
((x-2}{16})^2+(\frac{y+3)/9)^2=1	(\frac{x-2}{16})^{2}+(\frac{y+3}{9})^{2}=1
((x-0.28)^2)/((2.98sqrt(2))^2)+(y^2)/((3.78sqrt(2))^2)=1	\frac{(x-0.28)^{2}}{(2.98\sqrt{2})^{2}}+\frac{y^{2}}{(3.78\sqrt{2})^{2}}=1
4x^2+y^2-16x+6y+9=0	4x^{2}+y^{2}-16x+6y+9=0
((x-1.97)^2)/((2.14sqrt(2))^2)+(y^2)/((1.4sqrt(2))^2)=1	\frac{(x-1.97)^{2}}{(2.14\sqrt{2})^{2}}+\frac{y^{2}}{(1.4\sqrt{2})^{2}}=1
x^2+9y^2=18	x^{2}+9y^{2}=18
9x^2+4y^2-18x+8y=23	9x^{2}+4y^{2}-18x+8y=23
1x^2+2y^2=9	1x^{2}+2y^{2}=9
((x-3)^2)/(64)+((y-3)^2)/(16)=1	\frac{(x-3)^{2}}{64}+\frac{(y-3)^{2}}{16}=1
4x^2+y^2+48x+128=0	4x^{2}+y^{2}+48x+128=0
((x-2)^2)/9+((y+4)^2)/(16)=1	\frac{(x-2)^{2}}{9}+\frac{(y+4)^{2}}{16}=1
y^2+6y+8x+1=0	y^{2}+6y+8x+1=0
(x-1)^2+(2y+4)^2=16	(x-1)^{2}+(2y+4)^{2}=16
64xx-256x+81yy+810y=2903	64xx-256x+81yy+810y=2903
((x+4)^2)/9+((y-4)^2)/(16)=1	\frac{(x+4)^{2}}{9}+\frac{(y-4)^{2}}{16}=1
((x-1)/(36))^2+((y+2)/(25))^2=1	(\frac{x-1}{36})^{2}+(\frac{y+2}{25})^{2}=1
9x^2+36y^2+36x-216y+36=0	9x^{2}+36y^{2}+36x-216y+36=0
((x-4)^2}{25}+\frac{(y-2)^2)/1 =1	\frac{(x-4)^{2}}{25}+\frac{(y-2)^{2}}{1}=1
25x^2+16y^2-400=0	25x^{2}+16y^{2}-400=0
4x^2+9y^2-24x-36y+36=0	4x^{2}+9y^{2}-24x-36y+36=0
x^2+9y^2=3	x^{2}+9y^{2}=3
((x-3)^2)/4+((y-6)^2)/(3/2)=1	\frac{(x-3)^{2}}{4}+\frac{(y-6)^{2}}{\frac{3}{2}}=1
x=3y^2	x=3y^{2}
x^2+14x-8y+65=0	x^{2}+14x-8y+65=0
x^2+9y^2=5	x^{2}+9y^{2}=5
9x^2+16y^2+18x-135=0	9x^{2}+16y^{2}+18x-135=0
16x^2+4y^2=25	16x^{2}+4y^{2}=25
x^2+9y^2<9	x^{2}+9y^{2}<9
x^2+4y^2+3x+2y-56=0	x^{2}+4y^{2}+3x+2y-56=0
3X^2+4Y^2+12X-8Y+9=0	3X^{2}+4Y^{2}+12X-8Y+9=0
((x+2)^2)/4+((y-3)^2)/(16)=1	\frac{(x+2)^{2}}{4}+\frac{(y-3)^{2}}{16}=1
16-x^2-4y^2=0	16-x^{2}-4y^{2}=0
25x^2+4y^2-200x+24y+376=0	25x^{2}+4y^{2}-200x+24y+376=0
((x+2)^2)/9+((y+3)^2)/(25)=1	\frac{(x+2)^{2}}{9}+\frac{(y+3)^{2}}{25}=1
y^2=-12(x-2)	y^{2}=-12(x-2)
x^2+y^2-2y>0	x^{2}+y^{2}-2y>0
((x-1)^2)/4+((y+3)^2)/(16)=1	\frac{(x-1)^{2}}{4}+\frac{(y+3)^{2}}{16}=1
(x^2)/(C_{1)}=1-(y^2)/(C_{2)}	\frac{x^{2}}{C_{1}}=1-\frac{y^{2}}{C_{2}}
25x^{(2)}+16y^{(2)}-96y-156=0	25x^{(2)}+16y^{(2)}-96y-156=0
((x-3)^2)/9+((y-6)^2)/(16)=1	\frac{(x-3)^{2}}{9}+\frac{(y-6)^{2}}{16}=1
5x^2+20y^2-25x-10y=5	5x^{2}+20y^{2}-25x-10y=5
2x^2+5y^2+8x-10y-27=0	2x^{2}+5y^{2}+8x-10y-27=0
((x-4)^2)/4+((y+2)^2)/(20)=1	\frac{(x-4)^{2}}{4}+\frac{(y+2)^{2}}{20}=1
(x^2}{13}+\frac{y^2)/9 =1	\frac{x^{2}}{13}+\frac{y^{2}}{9}=1
((x+3)^2)/4+((y-4)^2)/(18)=1	\frac{(x+3)^{2}}{4}+\frac{(y-4)^{2}}{18}=1
4x-y^2=0	4x-y^{2}=0
x/(x^2+y^2)=-3/4	\frac{x}{x^{2}+y^{2}}=-\frac{3}{4}
((x+1)^2}{27/4}+\frac{(y-4)^2)/9 =1	\frac{(x+1)^{2}}{\frac{27}{4}}+\frac{(y-4)^{2}}{9}=1
9-x^2-9y^2=0	9-x^{2}-9y^{2}=0
((x-5)^2}{25}+\frac{(y-3)^2)/9 =1	\frac{(x-5)^{2}}{25}+\frac{(y-3)^{2}}{9}=1
y/(x^2+y^2)=4	\frac{y}{x^{2}+y^{2}}=4
4x^2+9y^2-8x-54y-5=0	4x^{2}+9y^{2}-8x-54y-5=0
x^2+4y^2+8x+8y-16=0	x^{2}+4y^{2}+8x+8y-16=0
9x^2+16y^2-160y+256=0	9x^{2}+16y^{2}-160y+256=0
(x^2}{10}+\frac{y^2)/2 =1	\frac{x^{2}}{10}+\frac{y^{2}}{2}=1
4x^2+25y^2-200y+300=0	4x^{2}+25y^{2}-200y+300=0
(x-2)^2=-8(y+3)	(x-2)^{2}=-8(y+3)
(X^2)/(16)+(y-4)^2=1	\frac{X^{2}}{16}+(y-4)^{2}=1
(x^2)/(20^2)+(y^2)/(15^2)=1	\frac{x^{2}}{20^{2}}+\frac{y^{2}}{15^{2}}=1
25x^2+16y^2-100x-300=0	25x^{2}+16y^{2}-100x-300=0
4x^2+24x+25y^2-300y+836=0	4x^{2}+24x+25y^{2}-300y+836=0
12x^2=336-7y^2	12x^{2}=336-7y^{2}
(x-2)^2+4(y-3)^2=4	(x-2)^{2}+4(y-3)^{2}=4
y=(x^2+y^2)/4	y=\frac{x^{2}+y^{2}}{4}
110=x^2+3y^2	110=x^{2}+3y^{2}
(x^2+4x+4)/((4.25)^2)+(y^2-2y+1)/((3.4)^2)=1	\frac{x^{2}+4x+4}{(4.25)^{2}}+\frac{y^{2}-2y+1}{(3.4)^{2}}=1
2x^2+y^2+4x-6y=7	2x^{2}+y^{2}+4x-6y=7
y=x^2-4x	y=x^{2}-4x
((x-8)^2)/(16)+((y+1)^2)/(81)=1	\frac{(x-8)^{2}}{16}+\frac{(y+1)^{2}}{81}=1
36x^2+9y^2+48x-36y-72=0	36x^{2}+9y^{2}+48x-36y-72=0
(x-5)^2+(y-1)^2+(y-1)^2=14	(x-5)^{2}+(y-1)^{2}+(y-1)^{2}=14
((x+1)/2)^2+((y-3)/4)^2=4	(\frac{x+1}{2})^{2}+(\frac{y-3}{4})^{2}=4
((x-3)^2)/((18))+((y+1)^2)/(12)=1	\frac{(x-3)^{2}}{(18)}+\frac{(y+1)^{2}}{12}=1
4x^2+8y^2-16*+32y+32=0	4x^{2}+8y^{2}-16\cdot\:+32y+32=0
(x^2)/6+(y^2)/2 =1	\frac{x^{2}}{6}+\frac{y^{2}}{2}=1
y^2=(4-x^2)/5	y^{2}=\frac{4-x^{2}}{5}

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