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Pertanyaan

Jika lingkaran x 2 + y 2 − 4 x + 6 y + p = 0 menyinggung garis x = 3, maka nilai p = ....

Jika lingkaran menyinggung garis x = 3, maka nilai p = ....

  1. 6

  2. 5

  3. 4

  4. 3

  5. 2

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N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Lingkaran menyinggung garis x = 3, maka: r = 3

Lingkaran x squared plus y squared minus 4 x plus 6 y plus p equals 0

menyinggung garis x = 3, maka:

r = 3

space space space space space space space square root of 1 fourth A squared plus 1 fourth B squared minus C end root equals 3  square root of 1 fourth left parenthesis negative 4 right parenthesis squared plus 1 fourth left parenthesis 6 right parenthesis squared minus p end root equals 3  space space space space space space space space space space space space space space space space space space space space space square root of 4 plus 9 minus p end root equals 3  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 square root of 13 minus p end root equals 3  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 13 minus p equals 9  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 4

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