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Jika lingkaran x squared plus y squared minus a x minus a y plus a equals 0 mempunyai panjang jari-jari 1 half a, maka nilai a adalah...

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A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Lingkaran space dengan space persamaan space straight x squared plus straight y squared plus Ax plus By plus straight C equals 0 space memiliki space jari minus jari  straight r equals square root of 1 fourth straight A squared plus 1 fourth straight B squared minus straight C end root straight space    Sehingga space lingkaran space dengan space persamaan space straight x squared plus straight y squared minus ax minus ay plus straight a equals 0 space memiliki space  jari minus jari  straight r equals square root of 1 fourth open parentheses negative straight a close parentheses squared plus 1 fourth open parentheses negative straight a close parentheses squared minus straight a end root  1 half straight a equals square root of 1 fourth straight a squared plus 1 fourth straight a squared minus straight a end root  1 fourth straight a squared equals 1 fourth straight a squared plus 1 fourth straight a squared minus straight a  1 fourth straight a squared minus straight a equals 0  straight a open parentheses 1 fourth straight a minus 1 close parentheses equals 0  box enclose straight a equals 0 end enclose space atau space box enclose straight a equals 4 end enclose

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