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 $x^{2} + y^{2} + 3 x - 5 y + p = 0$ melalui titik (-1,-2). Jari-jari lingkaran tersebut adalah ...

$fraction numerator square root of 78 over denominator 2 end fraction$
$fraction numerator square root of 79 over denominator 2 end fraction$
$fraction numerator square root of 80 over denominator 2 end fraction$
$fraction numerator square root of 82 over denominator 2 end fraction$
$fraction numerator square root of 81 over denominator 2 end fraction$

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

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

melalui titik (-1,-2)

maka:

Persamaan lingkaran:

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