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Persamaan lingkaran yang sepusat dengan lingkaran ...

Persamaan lingkaran yang sepusat dengan lingkaran begin mathsize 14px style L identical to x squared plus y squared plus 3 x minus 6 y minus 9 equals 0 end style dan berjari-jari 2 lebih besar dari jari-jari lingkaran L adalah ...

  1. begin mathsize 14px style x squared plus y squared plus 3 x minus 6 y minus 31 equals 0 end style  

  2. begin mathsize 14px style x squared plus y squared plus 3 x minus 6 y plus 9 equals 0 end style 

  3. begin mathsize 14px style x squared plus y squared plus 3 x minus 6 y plus 5 equals 0 end style 

  4. begin mathsize 14px style x squared plus y squared plus 3 x minus 6 y minus 13 equals 0 end style 

  5. begin mathsize 14px style x squared plus y squared plus 3 x minus 6 y plus 279 over 4 equals 0 end style 

Jawaban:

Lingkaran begin mathsize 14px style L identical to x squared plus y squared plus 3 x minus 6 y minus 9 equals 0 end style berpusat di:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses negative A over 2 comma negative B over 2 close parentheses end cell equals cell open parentheses negative 3 over 2 comma negative fraction numerator negative 6 over denominator 2 end fraction close parentheses end cell row blank equals cell open parentheses negative 3 over 2 comma 3 close parentheses end cell end table end style

 dan berjari-jari:

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell square root of 1 fourth A squared plus 1 fourth B squared minus C end root end cell equals cell square root of 1 fourth open parentheses 3 close parentheses squared plus 1 fourth open parentheses negative 6 close parentheses squared minus left parenthesis negative 9 right parenthesis end root end cell row blank equals cell square root of 9 over 4 plus 36 over 4 plus 9 end root end cell row blank equals cell square root of fraction numerator 9 plus 36 plus 36 over denominator 4 end fraction end root end cell row blank equals cell square root of 81 over 4 end root end cell row blank equals cell 9 over 2 end cell end table end style

Persamaan lingkaran yang berpusat di begin mathsize 14px style open parentheses negative 3 over 2 comma 3 close parentheses end style dan berjari-jari 9:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses x plus 3 over 2 close parentheses squared plus open parentheses y minus 3 close parentheses squared end cell equals cell 9 squared end cell row cell x squared plus 3 x plus 9 over 4 plus y squared minus 6 y plus 9 end cell equals 81 row cell x squared plus y squared plus 3 x minus 6 y plus 9 over 4 plus 9 minus 81 end cell equals 0 row cell x squared plus y squared plus 3 x minus 6 y plus 279 over 4 end cell equals 0 row blank blank blank end table end style

Jadi, jawaban yang tepat adalah E.

 

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