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Tentukan persamaan lingkaran yang berpusat di  dan...

Tentukan persamaan lingkaran yang berpusat di begin mathsize 14px style straight O open parentheses 0 comma space 0 close parentheses end style dan menyinggung garis begin mathsize 14px style 8 x minus 15 y plus 34 equals 0 end style.

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Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row r equals cell open vertical bar fraction numerator a x subscript 1 plus b y subscript 1 plus c over denominator square root of a squared plus b squared end root end fraction close vertical bar end cell row blank equals cell open vertical bar fraction numerator 8 open parentheses 0 close parentheses minus 15 open parentheses 0 close parentheses plus 34 over denominator square root of 8 squared plus open parentheses negative 15 close parentheses squared end root end fraction close vertical bar end cell row blank equals cell open vertical bar fraction numerator 34 over denominator square root of 64 plus 225 end root end fraction close vertical bar end cell row blank equals cell open vertical bar fraction numerator 34 over denominator square root of 289 end fraction close vertical bar end cell row blank equals cell 34 over 17 end cell row blank equals 2 row blank blank blank end table end style

Diketahui begin mathsize 14px style r equals 2 end style, maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell x squared plus y squared end cell equals cell r squared end cell row cell x squared plus y squared end cell equals cell 2 squared end cell row cell x squared plus y squared end cell equals 4 end table end style

Jadi, jawaban yang tepat adalah begin mathsize 14px style x squared plus y squared equals 4 end style.

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