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בעיות Geometry פופולריות
x^2+y^2-2x+6y+6=0
x^{2}+y^{2}-2x+6y+6=0
4x^2+4y^2+36y+5=0
4x^{2}+4y^{2}+36y+5=0
axis y=-x^2+4x+1
axis\:y=-x^{2}+4x+1
25x^2+9y^2=225
25x^{2}+9y^{2}=225
vertices (y^2}{64}-\frac{x^2)/9 =1
vertices\:\frac{y^{2}}{64}-\frac{x^{2}}{9}=1
x^2+4y^2-6x+16y+21=0
x^{2}+4y^{2}-6x+16y+21=0
foci x^2=4y
foci\:x^{2}=4y
x^2+y^2-6x+4y+9=0
x^{2}+y^{2}-6x+4y+9=0
vertices f(x)=x^2-4x+3
vertices\:f(x)=x^{2}-4x+3
((x-h)^2)/(a^2)+((y-k)^2)/(b^2)=1
\frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}}=1
x^2+y^2+4x-6y-3=0
x^{2}+y^{2}+4x-6y-3=0
(x^2}{25}-\frac{y^2)/4 =1
\frac{x^{2}}{25}-\frac{y^{2}}{4}=1
foci x^2+(y^2)/(64)=1
foci\:x^{2}+\frac{y^{2}}{64}=1
center 9x^2+16y^2=144
center\:9x^{2}+16y^{2}=144
directrix y^2=-25x
directrix\:y^{2}=-25x
foci (x^2)/4-(y^2)/9 =1
foci\:\frac{x^{2}}{4}-\frac{y^{2}}{9}=1
(x^2}{25}+\frac{y^2)/4 =1
\frac{x^{2}}{25}+\frac{y^{2}}{4}=1
x^2+y^2+8x+4y-3=40
x^{2}+y^{2}+8x+4y-3=40
y^2=-x
y^{2}=-x
(x-2)^2+(y-2)^2=4
(x-2)^{2}+(y-2)^{2}=4
(x^2)/(25)+(y^2)/(25)=1
\frac{x^{2}}{25}+\frac{y^{2}}{25}=1
center x^2+y^2-2x+4y-31=0
center\:x^{2}+y^{2}-2x+4y-31=0
focus y^2=-36x
focus\:y^{2}=-36x
(x^2)/9+(y^2)/9 =1
\frac{x^{2}}{9}+\frac{y^{2}}{9}=1
foci x^2+(y^2)/(16)=1
foci\:x^{2}+\frac{y^{2}}{16}=1
x^2=-2y
x^{2}=-2y
foci x=-2y^2
foci\:x=-2y^{2}
x^2=20y
x^{2}=20y
3x^2+y^2+18x-2y-8=0
3x^{2}+y^{2}+18x-2y-8=0
eccentricity (x^2)/5+(y^2)/9 =1
eccentricity\:\frac{x^{2}}{5}+\frac{y^{2}}{9}=1
vertices 3x^2+2y^2=6
vertices\:3x^{2}+2y^{2}=6
x^2-y^2>= 0
x^{2}-y^{2}\ge\:0
foci (x^2)/(25)+(y^2)/(25)=1
foci\:\frac{x^{2}}{25}+\frac{y^{2}}{25}=1
y^2+20x+8y+56=0
y^{2}+20x+8y+56=0
x=y^2-1
x=y^{2}-1
x^2+y^2<= 16
x^{2}+y^{2}\le\:16
vertices f(x)=x^2+4x
vertices\:f(x)=x^{2}+4x
foci (x^2)/4+(y^2)/(25)=1
foci\:\frac{x^{2}}{4}+\frac{y^{2}}{25}=1
2x-y^2=0
2x-y^{2}=0
(x^2)/4+y^2=1
\frac{x^{2}}{4}+y^{2}=1
x^2+(y-2)^2=1
x^{2}+(y-2)^{2}=1
foci 16x^2+y^2=16
foci\:16x^{2}+y^{2}=16
vertices f(x)=x^2-2
vertices\:f(x)=x^{2}-2
x^2+y^2-9=0
x^{2}+y^{2}-9=0
focus y^2=20x
focus\:y^{2}=20x
x^2+20x+y^2+16y=-20
x^{2}+20x+y^{2}+16y=-20
((x-3)^2)/(81)-((y+5)^2)/(144)=1
\frac{(x-3)^{2}}{81}-\frac{(y+5)^{2}}{144}=1
(x^2)/(49)+(y^2)/(16)=1
\frac{x^{2}}{49}+\frac{y^{2}}{16}=1
((y-6)^2)/(64)-((x-8)^2)/(36)=1
\frac{(y-6)^{2}}{64}-\frac{(x-8)^{2}}{36}=1
asymptotes 9x^2-9y^2+18x+36y=63
asymptotes\:9x^{2}-9y^{2}+18x+36y=63
vertices f(x)=x^2+8x+12
vertices\:f(x)=x^{2}+8x+12
(x^2)/(16)-(y^2)/(25)=1
\frac{x^{2}}{16}-\frac{y^{2}}{25}=1
x^2=28y
x^{2}=28y
x=-y^2
x=-y^{2}
asymptotes 9y^2-16x^2=81
asymptotes\:9y^{2}-16x^{2}=81
x=y^2-2y
x=y^{2}-2y
foci y^2=-4/5 (x-2)
foci\:y^{2}=-\frac{4}{5}(x-2)
foci x= 1/4 y^2
foci\:x=\frac{1}{4}y^{2}
x^2-4y^2-20x-64y-172=0
x^{2}-4y^{2}-20x-64y-172=0
9x^2+4y^2-18x+8y-23=0
9x^{2}+4y^{2}-18x+8y-23=0
25x^2+4y^2=100
25x^{2}+4y^{2}=100
directrix y=-2x^2-2x-2
directrix\:y=-2x^{2}-2x-2
vertices (x^2)/9+(y^2)/(16)=1
vertices\:\frac{x^{2}}{9}+\frac{y^{2}}{16}=1
x^2-y^2=25
x^{2}-y^{2}=25
x^2+y^2=100
x^{2}+y^{2}=100
directrix y^2=-14x
directrix\:y^{2}=-14x
vertices 16x^2+y^2=16
vertices\:16x^{2}+y^{2}=16
foci (y^2)/9-(x^2)/(16)=1
foci\:\frac{y^{2}}{9}-\frac{x^{2}}{16}=1
x^2+y^2-4y=0
x^{2}+y^{2}-4y=0
foci (x^2)/9+(y^2)/(16)=1
foci\:\frac{x^{2}}{9}+\frac{y^{2}}{16}=1
foci (x^2)/(36)-(y^2)/(64)=1
foci\:\frac{x^{2}}{36}-\frac{y^{2}}{64}=1
x^2=-6y
x^{2}=-6y
y^2-4y-4x=0
y^{2}-4y-4x=0
(x^2)/(16)+(y^2)/(49)=1
\frac{x^{2}}{16}+\frac{y^{2}}{49}=1
vertices (x^2)/(25)+(y^2)/(25)=1
vertices\:\frac{x^{2}}{25}+\frac{y^{2}}{25}=1
asymptotes (y^2)/(64)-(x^2)/(36)=1
asymptotes\:\frac{y^{2}}{64}-\frac{x^{2}}{36}=1
((x-1)^2}{25}-\frac{(y+3)^2)/9 =1
\frac{(x-1)^{2}}{25}-\frac{(y+3)^{2}}{9}=1
vertices f(x)=x^2-2x+4
vertices\:f(x)=x^{2}-2x+4
vertices x^2-24x-12
vertices\:x^{2}-24x-12
foci x^2=-8y
foci\:x^{2}=-8y
foci 16x^2+9y^2=144
foci\:16x^{2}+9y^{2}=144
-x^2+y^2=1
-x^{2}+y^{2}=1
foci y^2-(x^2)/9 =1
foci\:y^{2}-\frac{x^{2}}{9}=1
y^2=2x+1
y^{2}=2x+1
x^2+2y^2=3
x^{2}+2y^{2}=3
vertices f(x)=-x^2-2x+2
vertices\:f(x)=-x^{2}-2x+2
x^2+4y^2-4x=0
x^{2}+4y^{2}-4x=0
foci 4x^2+9y^2=36
foci\:4x^{2}+9y^{2}=36
3x^2+2y^2+6x-4y+5=18
3x^{2}+2y^{2}+6x-4y+5=18
vertices f(x)=x^2+8x+15
vertices\:f(x)=x^{2}+8x+15
vertices f(x)=(x-3)^2
vertices\:f(x)=(x-3)^{2}
directrix y^2=-20x
directrix\:y^{2}=-20x
vertices f(x)=-(x^2)/(10)+(9x)/(10)+11/5
vertices\:f(x)=-\frac{x^{2}}{10}+\frac{9x}{10}+\frac{11}{5}
directrix y^2=32x
directrix\:y^{2}=32x
y+4x<= x^2+2
y+4x\le\:x^{2}+2
foci y^2-y-x+1=0
foci\:y^{2}-y-x+1=0
9y^2-16x^2=81
9y^{2}-16x^{2}=81
9x^2-4y^2-54x-8y+113=0
9x^{2}-4y^{2}-54x-8y+113=0
eccentricity ((x-5)^2)/4+((y+3)^2)/(16)=1
eccentricity\:\frac{(x-5)^{2}}{4}+\frac{(y+3)^{2}}{16}=1
vertices y^2+2y+x=0
vertices\:y^{2}+2y+x=0
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