Pertanyaan

Persamaan lingkaran yang berpusat di (1,3) dan menyinggung garis 3x - 4y - 11 = 0 adalah ....

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Lingkaran dengan pusat (1,3) menyinggung garis 3x - 4y - 11= 0 Persamaan lingkaran:

Lingkaran dengan pusat (1,3) menyinggung garis 3x - 4y - 11= 0

$r equals open vertical bar fraction numerator A a plus B b plus C over denominator square root of A squared plus B end root end fraction close vertical bar r equals open vertical bar fraction numerator left parenthesis 3.1 right parenthesis plus left parenthesis negative 4.3 right parenthesis minus 11 over denominator square root of 3 squared plus 4 squared end root end fraction close vertical bar space space equals open vertical bar fraction numerator 3 minus 12 minus 11 over denominator square root of 25 end fraction close vertical bar equals open vertical bar fraction numerator negative 20 over denominator 4 end fraction close vertical bar equals 4$

Persamaan lingkaran:

left parenthesis x minus a right parenthesis squared plus left parenthesis y minus b right parenthesis squared equals r squared left parenthesis x minus 1 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 4 squared x squared minus 2 x plus 1 plus y squared minus 6 y plus 9 equals 0 x squared plus y squared minus 2 x minus 6 y minus 6 equals 0