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مسائل مشهورة

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center x^2-(y^2)/(16)=1	`center` `x`²−`y`²16 =1
center ((x-1)^2)/4-((y-2)^2)/1 =1	`center` (`x`−1)²4 −(`y`−2)²1 =1
center-((y-3)^2}{25}+\frac{(x+2)^2)/9 =1	`center` −(`y`−3)²25 +(`x`+2)²9 =1
center ((x+4)^2)/9-((y+3)^2)/(16)=1	`center` (`x`+4)²9 −(`y`+3)²16 =1
center 4x^2-1/2 y^2+8x+2y=2	`center` 4`x`²−12 `y`²+8`x`+2`y`=2
center (x^2)/(25)-(y^2)/(16)=1	`center` `x`²25 −`y`²16 =1
center 4x^2-25y^2+16x+50y-109=0	`center` 4`x`²−25`y`²+16`x`+50`y`−109=0
center (y^2}{16}-\frac{x^2)/9 =1	`center` `y`²16 −`x`²9 =1
center (x^2)/4-((y+1)^2)/(16)=1	`center` `x`²4 −(`y`+1)²16 =1
center 4x^2-9y^2-36=0	`center` 4`x`²−9`y`²−36=0
center (x^2)/(16)-(y^2)/(36)=1	`center` `x`²16 −`y`²36 =1
center x^2-4y^2-20x-64y-172=0	`center` `x`²−4`y`²−20`x`−64`y`−172=0
center-9x^2-32y=-16y^2+128	`center` −9`x`²−32`y`=−16`y`²+128
center (x^2)/(a^2)-(y^2)/(b^2)=1	`center` `x`²`a`² −`y`²`b`² =1
center 2x^2-2y^2-20x+16y+16=0	`center` 2`x`²−2`y`²−20`x`+16`y`+16=0
center-((x-3)^2}{25}+\frac{(y+2)^2)/9 =1	`center` −(`x`−3)²25 +(`y`+2)²9 =1
center 9y^2-x^2+2x+54y+62=0	`center` 9`y`²−`x`²+2`x`+54`y`+62=0
center x^2-4y^2+8x+16y-4=0	`center` `x`²−4`y`²+8`x`+16`y`−4=0
center (x^2)/9-(y^2)/4 =1	`center` `x`²9 −`y`²4 =1
center ((x-5)^2)/4-((y+5)^2)/9 =1	`center` (`x`−5)²4 −(`y`+5)²9 =1
center x^2-y^2+2y=0	`center` `x`²−`y`²+2`y`=0
center 25y^2-16x^2-400=0	`center` 25`y`²−16`x`²−400=0
center 9x^2-16y^2=144	`center` 9`x`²−16`y`²=144
center ((x+1)^2)/(25)-((y-4)^2)/(144)=1	`center` (`x`+1)²25 −(`y`−4)²144 =1
center ((x-2)^2)/4-((y+2)^2)/5 =1	`center` (`x`−2)²4 −(`y`+2)²5 =1
center+(x^2}{49}-\frac{y^2)/9 =1	`center` +`x`²49 −`y`²9 =1
center 5x^2-2y^2+10x-12y=23	`center` 5`x`²−2`y`²+10`x`−12`y`=23
center (x^2)/4-(y^2)/(16)=1	`center` `x`²4 −`y`²16 =1
center 16y^2-x^2+2x+64y+47=0	`center` 16`y`²−`x`²+2`x`+64`y`+47=0
center 25x^2-16y^2+50x+128y-631=0	`center` 25`x`²−16`y`²+50`x`+128`y`−631=0
center-9x^2+4y^2-36x-16y-164=0	`center` −9`x`²+4`y`²−36`x`−16`y`−164=0
center-x^2+y^2=1	`center` −`x`²+`y`²=1
center 11x^2-25y^2+22x+250y-889=0	`center` 11`x`²−25`y`²+22`x`+250`y`−889=0
center 16x^2-9y^2-144=0	`center` 16`x`²−9`y`²−144=0
center x^2-3y^2-2x-6y+7=0	`center` `x`²−3`y`²−2`x`−6`y`+7=0
center 9(x-1)^2-16(y+2)^2=144	`center` 9(`x`−1)²−16(`y`+2)²=144
center ((x-2)^2)/9-((y-1)^2)/4 =1	`center` (`x`−2)²9 −(`y`−1)²4 =1
center (y^2)/4-(x^2)/9 =1	`center` `y`²4 −`x`²9 =1
center 4x^2-y^2-24x-4y+28=0	`center` 4`x`²−`y`²−24`x`−4`y`+28=0
center 16x^2-9y^2=144	`center` 16`x`²−9`y`²=144
center (x^2)/7-(7y^2)/(42)=1	`center` `x`²7 −7`y`²42 =1
center 4y^2-49x^2-392x+16y-964=0	`center` 4`y`²−49`x`²−392`x`+16`y`−964=0
center (y^2)/9-(x^2)/(16)=1	`center` `y`²9 −`x`²16 =1
center x^2-y^2=16	`center` `x`²−`y`²=16
center (x^2)/4-(y^2)/9 =1	`center` `x`²4 −`y`²9 =1
center (x^2)/(144)-(y^2)/(25)=1	`center` `x`²144 −`y`²25 =1
center ((x-5)^2)/(36)-(y^2)/(64)=1	`center` (`x`−5)²36 −`y`²64 =1
center y^2-(x^2)/9 =1	`center` `y`²−`x`²9 =1
center 16x^2-9y^2-64x-18y+199=0	`center` 16`x`²−9`y`²−64`x`−18`y`+199=0
center 9x^2-16y^2-18x-64y-199=0	`center` 9`x`²−16`y`²−18`x`−64`y`−199=0
center (y^2)/(25)-(x^2)/(81)=1	`center` `y`²25 −`x`²81 =1
center 9x^2-16y^2-54x+64y-127=0	`center` 9`x`²−16`y`²−54`x`+64`y`−127=0
center-(x^2)/(a^2)+(y^2)/(b^2)=1	`center` −`x`²`a`² +`y`²`b`² =1
center 9x^2-36x-4y^2-24y-36=0	`center` 9`x`²−36`x`−4`y`²−24`y`−36=0
center 4x^2-y^2=16	`center` 4`x`²−`y`²=16
center x^2-(y^2)/9 =1	`center` `x`²−`y`²9 =1
center 9x^2-4y^2+54x+8y+78=0	`center` 9`x`²−4`y`²+54`x`+8`y`+78=0
center x^2-y^2-4x+8y-21=0	`center` `x`²−`y`²−4`x`+8`y`−21=0
center x^2-y^2=10(x-y)+1	`center` `x`²−`y`²=10(`x`−`y`)+1
center 9x^2-16y^2-18x+64y-199=0	`center` 9`x`²−16`y`²−18`x`+64`y`−199=0
center 9x^2-16y^2-144=0	`center` 9`x`²−16`y`²−144=0
center x^2-(y^2)/(25)=1	`center` `x`²−`y`²25 =1
center 9x^2-16y^2-126x+160y-103=0	`center` 9`x`²−16`y`²−126`x`+160`y`−103=0
center ((x-h)^2}{64}-\frac{(y-k)^2)/9 =1	`center` (`x`−`h`)²64 −(`y`−`k`)²9 =1
center (x^2)/6-(y^2)/8 =1	`center` `x`²6 −`y`²8 =1
center (y^2)/4-(x^2)/(25)=1	`center` `y`²4 −`x`²25 =1
center 4x^2-3y^2-8x-8=0	`center` 4`x`²−3`y`²−8`x`−8=0
center 0=-400/9 x^2+16y^2+400	`center` 0=−4009 `x`²+16`y`²+400
center x^2-y^2+7x+8y=5	`center` `x`²−`y`²+7`x`+8`y`=5
center ((x-4)^2}{36}-\frac{(y-2)^2)/9 =1	`center` (`x`−4)²36 −(`y`−2)²9 =1
center 9y^2-49x^2=441	`center` 9`y`²−49`x`²=441
center 4x^2-9y^2+32x+36y+64=0	`center` 4`x`²−9`y`²+32`x`+36`y`+64=0
center 4x^2-45y^2=180	`center` 4`x`²−45`y`²=180
center ((y-2)^2)/9-((x-1)^2)/(16)=1	`center` (`y`−2)²9 −(`x`−1)²16 =1
center (x^2}{36}-\frac{y^2)/9 =1	`center` `x`²36 −`y`²9 =1
center x^2-y^2-2x-4y=-4	`center` `x`²−`y`²−2`x`−4`y`=−4
center 9y^2-4x^2=36	`center` 9`y`²−4`x`²=36
center ((x+3)^2}{16}-\frac{(y-4)^2)/9 =1	`center` (`x`+3)²16 −(`y`−4)²9 =1
center 18x^2-32y^2=2	`center` 18`x`²−32`y`²=2
center 16x^2-96x-y^2-2y+139=0	`center` 16`x`²−96`x`−`y`²−2`y`+139=0
center (x^2)/(25)-(y^2)/(64)=1	`center` `x`²25 −`y`²64 =1
center 4x^2-9y^2=36	`center` 4`x`²−9`y`²=36
center 4x^2-1/2 y^2+8x-2y=2	`center` 4`x`²−12 `y`²+8`x`−2`y`=2
center 4x^2-9y^2+3x+18y+91=0	`center` 4`x`²−9`y`²+3`x`+18`y`+91=0
center ((x+5)^2)/(36)-(y^2)/(64)=1	`center` (`x`+5)²36 −`y`²64 =1
center 9x^2-25y^2=225	`center` 9`x`²−25`y`²=225
center-4x^2+y^2+16x+12y+16=0	`center` −4`x`²+`y`²+16`x`+12`y`+16=0
center 36x^2-y^2-216x+10y+263=0	`center` 36`x`²−`y`²−216`x`+10`y`+263=0
center 4x^2-9y^2-24x-36y-36=0	`center` 4`x`²−9`y`²−24`x`−36`y`−36=0
center x^2-y^2=6	`center` `x`²−`y`²=6
center x^2-25y^2-14x+100y-76=0	`center` `x`²−25`y`²−14`x`+100`y`−76=0
center (x^2)/(16)-(y^2)/(20)=1	`center` `x`²16 −`y`²20 =1
center (x^2)/(100)-(y^2)/(64)=1	`center` `x`²100 −`y`²64 =1
center 9y^2-25x^2-100x-108y-1=0	`center` 9`y`²−25`x`²−100`x`−108`y`−1=0
center 9x^2-4y^2+36x+8y+33=0	`center` 9`x`²−4`y`²+36`x`+8`y`+33=0
center (y^2)/5-(x^2)/5 =1	`center` `y`²5 −`x`²5 =1
center (x^2)/(60)-(y^2)/(40)=1	`center` `x`²60 −`y`²40 =1
center x^2-y^2-2x-2y-1=0	`center` `x`²−`y`²−2`x`−2`y`−1=0
center (x^2}{36}-\frac{y^2)/4 =1	`center` `x`²36 −`y`²4 =1
center 4x^2-25y^2+100y=200	`center` 4`x`²−25`y`²+100`y`=200

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