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Lingkaran dengan persamaan x 2 + y 2 − 3 p x + 2 y − 26 = 0 melalui titik (3,-1). Jari-jarinya adalah ....

Lingkaran dengan persamaan melalui titik (3,-1). Jari-jarinya adalah ....

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

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Pembahasan

Melalui titik (3,-1) Persamaan lingkaran:

x squared plus y squared minus 3 p x plus 2 y minus 26 equals 0 Melalui titik (3,-1)

left parenthesis 3 right parenthesis squared plus left parenthesis negative 1 right parenthesis squared minus 3 p left parenthesis 3 right parenthesis plus 2 left parenthesis negative 1 right parenthesis minus 26 equals 0  space space space space space space space space space space space space space space space space space space space space space space space space space space 9 plus 1 plus 9 p minus 2 minus 26 equals 0  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 8 plus 9 p minus 26 equals 0  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 9 p equals 18  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space p equals 2

Persamaan lingkaran:

x squared plus y squared minus 6 x plus 2 y plus 10 equals 0  A equals negative 6 semicolon space B equals 2 semicolon space C equals 10  r equals square root of 1 fourth A squared plus 1 fourth B squared minus C end root  space equals square root of 1 fourth left parenthesis negative 6 right parenthesis squared plus 1 fourth left parenthesis 2 right parenthesis squared plus 26 end root  space equals square root of 1 fourth left parenthesis 36 right parenthesis plus 1 fourth left parenthesis 4 right parenthesis plus 26 end root  space equals square root of 9 plus 1 plus 26 end root equals square root of 36 equals 6

 

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Diketahui persamaan suatu lingkaran x 2 + y 2 + 3 x − 5 y + p = 0 melalui titik (-1,-2). Jari-jari lingkaran tersebut adalah ...

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