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Pertanyaan

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

Diketahui persamaan suatu lingkaran melalui titik (-1,-2). Jari-jari lingkaran tersebut adalah ...

  1. fraction numerator square root of 78 over denominator 2 end fraction

  2. fraction numerator square root of 79 over denominator 2 end fraction

  3. fraction numerator square root of 80 over denominator 2 end fraction

  4. fraction numerator square root of 82 over denominator 2 end fraction

  5. fraction numerator square root of 81 over denominator 2 end fraction

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

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Pembahasan

melalui titik (-1,-2) maka: Persamaan lingkaran:

x squared plus y squared plus 3 x minus 5 y plus p equals 0 melalui titik (-1,-2) 

maka:

left parenthesis negative 1 right parenthesis squared plus left parenthesis negative 2 right parenthesis squared plus 3 left parenthesis negative 1 right parenthesis minus 5 left parenthesis negative 2 right parenthesis plus p 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 1 plus 4 minus 3 plus 10 plus p 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 12 plus p 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 space space space space space p equals negative 12

Persamaan lingkaran:

x squared plus y squared plus 3 x minus 5 y minus 12 equals 0  A equals 3 semicolon space B equals negative 5 semicolon space C equals negative 12  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 3 right parenthesis squared plus 1 fourth left parenthesis negative 5 right parenthesis squared plus 12 end root  space equals square root of 34 over 4 plus 48 over 4 end root equals square root of 82 over 4 end root equals fraction numerator square root of 82 over denominator 2 end fraction

68

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Pertanyaan serupa

Diketahui sebuah lingkaran x 2 + y 2 + 6 x + a y − 42 = 0 dan sebuah titik P ( 1 , 7 ) . Pernyataan manakah yang SALAH! Pilih salah satu atau lebih.

62

5.0

Jawaban terverifikasi

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