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Tentukan persamaan lingkaran jika diketahui pusatnya (5, 2) dan melalui (-4,1)!

Tentukan persamaan lingkaran jika diketahui pusatnya (5, 2) dan melalui (-4,1)!

  1. x squared plus y squared plus 10 x minus 4 y minus 52 equals 0

  2. x squared minus y squared minus 10 x minus 2 y minus 53 equals 0

  3. x squared plus y squared minus 10 x minus 4 y minus 53 equals 0

  4. x squared minus y squared plus 10 x minus 2 y minus 53 equals 0

  5. x squared plus y squared minus 10 x plus 4 y minus 53 equals 0

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

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Pembahasan

P u s a t space left parenthesis 5 comma space 2 right parenthesis space d a r i space m e l a l u i space left parenthesis negative 4 comma space 1 right parenthesis colon  r equals square root of left parenthesis 5 minus left parenthesis negative 4 right parenthesis right parenthesis squared plus left parenthesis 2 minus 1 right parenthesis squared end root  r equals square root of left parenthesis 5 plus 4 right parenthesis squared plus left parenthesis 2 minus 1 right parenthesis squared end root  r equals square root of 82  P e r s a m a a n space l i n g k a r a n colon  left parenthesis x minus 5 right parenthesis squared plus left parenthesis y minus 2 right parenthesis squared equals left parenthesis square root of 82 right parenthesis squared  x squared minus 10 x plus 25 plus y squared minus 4 y plus 4 equals 82  x squared plus y squared minus 10 x minus 4 y plus 29 equals 82  x squared plus y squared minus 10 x minus 4 y minus 53 equals 0

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