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Persamaan lingkaran yang berpusat di titik (3, - 4) dan berdiameter 4 17 ​ adalah....

Persamaan lingkaran yang berpusat di titik (3, - 4) dan berdiameter adalah....

  1. x squared minus y squared minus 8 x plus 6 y minus 57 space equals space 0

  2. x squared minus y squared minus 8 x plus 6 y minus 43 space equals space 0

  3. x squared minus y squared minus 8 x minus 6 y minus 43 space equals space 0

  4. x squared minus y squared plus 8 x minus 6 y minus 15 space equals space 0

  5. x squared minus y squared plus 8 x minus 6 y minus 11 space equals space 0

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Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

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Pembahasan

P e r s a m a a n space l i n g k a r a n colon space  left parenthesis x space minus space a right parenthesis ² space plus space left parenthesis y space minus space b right parenthesis ² space equals space r ² space  p u s a t space left parenthesis a comma b right parenthesis comma space j a r i minus j a r i space colon space r space space  p u s a t space left parenthesis 4 comma negative 3 right parenthesis space  d i a m e t e r space equals space 4 square root of 17  space j a r i minus j a r i space equals space r space equals space 2 square root of 17 space  left parenthesis x space minus space a right parenthesis ² space plus space left parenthesis y space minus space b right parenthesis ² space equals space r ²  left parenthesis x space minus space 4 right parenthesis ² space plus space left parenthesis y space plus space 3 right parenthesis ² space equals space left parenthesis 2 square root of 17 right parenthesis ²  space left parenthesis x space minus space 4 right parenthesis ² space plus space left parenthesis y space plus space 3 right parenthesis ² space equals space 68 space space    x ² space minus space 8 x space plus space 16 space plus space y ² space plus space 6 y space plus space 9 space equals space 68 space  x ² space plus space y ² space minus space 8 x space plus space 6 y space plus space 25 space minus space 68 space equals space 0 space  x ² space plus space y ² space minus space 8 x space plus space 6 y space minus space 43 space equals space 0 space space

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Tentukan persamaan lingkaran dan gambarlah grafiknya, jika diketahui: b. Diameter PQ di mana P ( 10 , 4 ) dan Q ( − 2 , − 2 ) .

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