write each equation of a circle in the general form,(x-5)²+(y-15)²=4​

Sagot :

[tex] \color{lime} \underline \mathbb{DIRECTIONS : }[/tex]

write each equation of a circle in the general form

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  • [tex] \sf{ {(x - 5)}^{2} + {(y - 15)}^{2} = 4 }[/tex]

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The general form of the circle is:

  • [tex] \sf{ {x}^{2} + {y}^{2} + cx + dy + e = 0 }[/tex]

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[tex] \color{green} \underline \mathbb{SOLUTION : }[/tex]

  • [tex] \sf{ {(x - 5)}^{2} + {(y - 15)}^{2} = 4 }[/tex]
  • [tex] \sf{ (x^2 - 10x+25) + (y^2 - 30y+225) = 4 }[/tex]
  • [tex] \sf{ (x^2-10x+25) + (y^2-30y+225)-4 = 0 }[/tex]
  • [tex] \sf{ x^2 + y^2 -10x - 30y+246 = 0 }[/tex]

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[tex]\color{yellow}\underline\mathbb{ANSWER:}[/tex]

  • The general form is [tex] \sf{ x^2 + y^2 -10x - 30y+246 = 0 }[/tex]

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[tex]\color{aqua}\tiny\sf{Jindy Winter}[/tex]☺️